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Simplifying -1(2x + 8) = 4(2x + -17) Reorder the terms: -1(8 + 2x) = 4(2x + -17) (8 * -1 + 2x * -1) = 4(2x + -17) (-8 + -2x) = 4(2x + -17) Reorder the terms: -8 + -2x = 4(-17 + 2x) -8 + -2x = (-17 * 4 + 2x * 4) -8 + -2x = (-68 + 8x) Solving -8 + -2x = -68 + 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. -8 + -2x + -8x = -68 + 8x + -8x Combine like terms: -2x + -8x = -10x -8 + -10x = -68 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -10x = -68 + 0 -8 + -10x = -68 Add '8' to each side of the equation. -8 + 8 + -10x = -68 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -68 + 8 -10x = -68 + 8 Combine like terms: -68 + 8 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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