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Simplifying -8(x + -1) = 4(x + 17) Reorder the terms: -8(-1 + x) = 4(x + 17) (-1 * -8 + x * -8) = 4(x + 17) (8 + -8x) = 4(x + 17) Reorder the terms: 8 + -8x = 4(17 + x) 8 + -8x = (17 * 4 + x * 4) 8 + -8x = (68 + 4x) Solving 8 + -8x = 68 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -8x + -4x = 68 + 4x + -4x Combine like terms: -8x + -4x = -12x 8 + -12x = 68 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -12x = 68 + 0 8 + -12x = 68 Add '-8' to each side of the equation. 8 + -8 + -12x = 68 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 68 + -8 -12x = 68 + -8 Combine like terms: 68 + -8 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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