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Simplifying -8x + -35(x + -3) = -7(6x + 6) Reorder the terms: -8x + -35(-3 + x) = -7(6x + 6) -8x + (-3 * -35 + x * -35) = -7(6x + 6) -8x + (105 + -35x) = -7(6x + 6) Reorder the terms: 105 + -8x + -35x = -7(6x + 6) Combine like terms: -8x + -35x = -43x 105 + -43x = -7(6x + 6) Reorder the terms: 105 + -43x = -7(6 + 6x) 105 + -43x = (6 * -7 + 6x * -7) 105 + -43x = (-42 + -42x) Solving 105 + -43x = -42 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 105 + -43x + 42x = -42 + -42x + 42x Combine like terms: -43x + 42x = -1x 105 + -1x = -42 + -42x + 42x Combine like terms: -42x + 42x = 0 105 + -1x = -42 + 0 105 + -1x = -42 Add '-105' to each side of the equation. 105 + -105 + -1x = -42 + -105 Combine like terms: 105 + -105 = 0 0 + -1x = -42 + -105 -1x = -42 + -105 Combine like terms: -42 + -105 = -147 -1x = -147 Divide each side by '-1'. x = 147 Simplifying x = 147
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