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Simplifying -2(x + 8) = -3(17 + -1x) Reorder the terms: -2(8 + x) = -3(17 + -1x) (8 * -2 + x * -2) = -3(17 + -1x) (-16 + -2x) = -3(17 + -1x) -16 + -2x = (17 * -3 + -1x * -3) -16 + -2x = (-51 + 3x) Solving -16 + -2x = -51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + -2x + -3x = -51 + 3x + -3x Combine like terms: -2x + -3x = -5x -16 + -5x = -51 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -5x = -51 + 0 -16 + -5x = -51 Add '16' to each side of the equation. -16 + 16 + -5x = -51 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = -51 + 16 -5x = -51 + 16 Combine like terms: -51 + 16 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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