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Simplifying -2(x + -4) = -3(x + 8) Reorder the terms: -2(-4 + x) = -3(x + 8) (-4 * -2 + x * -2) = -3(x + 8) (8 + -2x) = -3(x + 8) Reorder the terms: 8 + -2x = -3(8 + x) 8 + -2x = (8 * -3 + x * -3) 8 + -2x = (-24 + -3x) Solving 8 + -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. 8 + -2x + 3x = -24 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = -24 + 0 8 + 1x = -24 Add '-8' to each side of the equation. 8 + -8 + 1x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -24 + -8 1x = -24 + -8 Combine like terms: -24 + -8 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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