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Simplifying 29 = -7(8 + 6x) + -1(1 + x) 29 = (8 * -7 + 6x * -7) + -1(1 + x) 29 = (-56 + -42x) + -1(1 + x) 29 = -56 + -42x + (1 * -1 + x * -1) 29 = -56 + -42x + (-1 + -1x) Reorder the terms: 29 = -56 + -1 + -42x + -1x Combine like terms: -56 + -1 = -57 29 = -57 + -42x + -1x Combine like terms: -42x + -1x = -43x 29 = -57 + -43x Solving 29 = -57 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. 29 + 43x = -57 + -43x + 43x Combine like terms: -43x + 43x = 0 29 + 43x = -57 + 0 29 + 43x = -57 Add '-29' to each side of the equation. 29 + -29 + 43x = -57 + -29 Combine like terms: 29 + -29 = 0 0 + 43x = -57 + -29 43x = -57 + -29 Combine like terms: -57 + -29 = -86 43x = -86 Divide each side by '43'. x = -2 Simplifying x = -2
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