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Solve -2(5x – 3) = 41.
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Answer:

x = -7/2

Step-by-step explanation:

-2(5x - 3) = 41

Distribute the -2 inside the parenthesis.

-10x + 6 = 41

Subtract 6 from both sides.

-10x = 35

Divide both sides by -10.

x = 35/-10

Simplify the fraction.

x = -7/2.

Proof:

-2(5x - 3) = 41

Substitute variable.

-2(5(-7/2) - 3) = 41

Multiply 5 and -7/2.

-2(-35/2 - 3) = 41

Turn 3 into a fraction with denominator 2.

-2(-35/2 - 6/2) = 41

Subtract 6/2 from -35/2.

-2(-41/2) = 41

Multiply -2 and -41/2.

41 = 41.

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