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Simplifying 6 + 5(x + -7) = 8 + -8(x + -8) Reorder the terms: 6 + 5(-7 + x) = 8 + -8(x + -8) 6 + (-7 * 5 + x * 5) = 8 + -8(x + -8) 6 + (-35 + 5x) = 8 + -8(x + -8) Combine like terms: 6 + -35 = -29 -29 + 5x = 8 + -8(x + -8) Reorder the terms: -29 + 5x = 8 + -8(-8 + x) -29 + 5x = 8 + (-8 * -8 + x * -8) -29 + 5x = 8 + (64 + -8x) Combine like terms: 8 + 64 = 72 -29 + 5x = 72 + -8x Solving -29 + 5x = 72 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -29 + 5x + 8x = 72 + -8x + 8x Combine like terms: 5x + 8x = 13x -29 + 13x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 -29 + 13x = 72 + 0 -29 + 13x = 72 Add '29' to each side of the equation. -29 + 29 + 13x = 72 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 72 + 29 13x = 72 + 29 Combine like terms: 72 + 29 = 101 13x = 101 Divide each side by '13'. x = 7.769230769 Simplifying x = 7.769230769
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