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Simplifying 2(x + 8) = -3(-8 + -1x) Reorder the terms: 2(8 + x) = -3(-8 + -1x) (8 * 2 + x * 2) = -3(-8 + -1x) (16 + 2x) = -3(-8 + -1x) 16 + 2x = (-8 * -3 + -1x * -3) 16 + 2x = (24 + 3x) Solving 16 + 2x = 24 + 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 = 24 + 3x + -3x Combine like terms: 2x + -3x = -1x 16 + -1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -1x = 24 + 0 16 + -1x = 24 Add '-16' to each side of the equation. 16 + -16 + -1x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 24 + -16 -1x = 24 + -16 Combine like terms: 24 + -16 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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