Multi-Step Equations Unit Test

Question

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Question
Solve for x in the equation −6.29(x+7.85)=−19.499.(1 point)
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Answer 1

The given equation is −6.29(x+7.85)=−19.499.

First, distribute -6.29 to the terms inside the parenthesis:
-6.29x - 6.29(7.85) = -19.499

Simplify further:
-6.29x - 49.2365 = -19.499

Now, isolate the variable x. Add 49.2365 to both sides of the equation:
-6.29x = -19.499 + 49.2365

Simplify:
-6.29x = 29.7375

Finally, divide both sides of the equation by -6.29 to solve for x:
x = 29.7375 / -6.29

x = -4.726