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Simplifying -3(x + -7) + 8 = 8(x + -1) Reorder the terms: -3(-7 + x) + 8 = 8(x + -1) (-7 * -3 + x * -3) + 8 = 8(x + -1) (21 + -3x) + 8 = 8(x + -1) Reorder the terms: 21 + 8 + -3x = 8(x + -1) Combine like terms: 21 + 8 = 29 29 + -3x = 8(x + -1) Reorder the terms: 29 + -3x = 8(-1 + x) 29 + -3x = (-1 * 8 + x * 8) 29 + -3x = (-8 + 8x) Solving 29 + -3x = -8 + 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 + -3x + -8x = -8 + 8x + -8x Combine like terms: -3x + -8x = -11x 29 + -11x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -11x = -8 + 0 29 + -11x = -8 Add '-29' to each side of the equation. 29 + -29 + -11x = -8 + -29 Combine like terms: 29 + -29 = 0 0 + -11x = -8 + -29 -11x = -8 + -29 Combine like terms: -8 + -29 = -37 -11x = -37 Divide each side by '-11'. x = 3.363636364 Simplifying x = 3.363636364
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