Solve for x:
4(1 – x) + 2 x = -3( x + 1)

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Step-by-step explanation:

Distribute 4 through the parentheses

Distribute -3 through the parentheses

Collect like terms

Collect like terms by calculating the sum or difference of their coefficient

Calculate the sum

Move variable to the left hand side and change its sign

Why move an expression to the right?

We want to move an expression to the right to write the equation in a specific way.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality

Step 1

Example

take the equation:

We want the expression a to be on the right hand side of the equation.

Step 1

example(cont)

To move the expression to the right -hand side, use the addition property , and add -a to both sides of the equation:

Simplify the left hand side and remove the parentheses on the right hand side:

Now the expression a is on the right hand side :

Step 2:

Notice! when comparing  the beginning and the ending equation, it seems like we just moved the expression to the right hand side and changed its sign:

This is a shorter way to use the same property.

Now came back to the original equation

Move constant to to the right hand side and change its sign

collect like terms

calculate the difference

Why move a constant to the right?

We want to move a constant to the right because the mathematicians agreed upon a convention that the constants in the equation and inequalities always need to be on the right-hand side.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality.

Step 1

example

Take the equation:

We want the constant 3to be on the right hand side of the equation.

Step 1

example (cont)

To move the constant to the right-hand side, use the addition property, and add -3 to both sides of the equation:

Simplify the left-hand side and remove the parentheses on the right - hand side:

Now , all the constants are on the right- hand side:

Step 2

Notice! when comparing the beginning and the ending equation, it seems like we just moved the constants to the right hand side and change its sign:

This is a shorter way to use the same property.

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21

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !