Solving an Equation Using the Distributive Property: Step-by-Step Guide and Solution

-10 (-4x + 7) = 130

To solve this equation, we will use the distributive property to remove the parentheses

To solve this equation, we will use the distributive property to remove the parentheses. Let’s do it step by step:

-10(-4x + 7) = 130

First, distribute -10 to each term inside the parentheses:

(-10) * (-4x) + (-10) * 7 = 130

That gives us:

40x – 70 = 130

Next, we isolate the variable term by moving the constant term to the other side of the equation. We can do this by adding 70 to both sides:

40x – 70 + 70 = 130 + 70

Simplifying, we get:

40x = 200

Now, to find the value of x, we divide both sides of the equation by 40:

40x/40 = 200/40

Simplifying further:

x = 5

So, the solution to the equation is x = 5.

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