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3) -8 + 5(2x + 1) = -(-7x + 9) + x

Question

  1. -8 + 5(2x + 1) = -(-7x + 9) + x

Explanation:

Step1: Expand both sides

Left side: $-8 + 5(2x + 1) = -8 + 10x + 5 = 10x - 3$
Right side: $-(-7x + 9) + x = 7x - 9 + x = 8x - 9$

Step2: Solve for \(x\)

Set $10x - 3 = 8x - 9$
Subtract \(8x\) from both sides: $2x - 3 = -9$
Add 3 to both sides: $2x = -6$
Divide by 2: $x = -3$

Answer:

\(x = -3\)