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Simplifying -2(x + -4) = -3(x + 5) Reorder the terms: -2(-4 + x) = -3(x + 5) (-4 * -2 + x * -2) = -3(x + 5) (8 + -2x) = -3(x + 5) Reorder the terms: 8 + -2x = -3(5 + x) 8 + -2x = (5 * -3 + x * -3) 8 + -2x = (-15 + -3x) Solving 8 + -2x = -15 + -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 = -15 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = -15 + 0 8 + 1x = -15 Add '-8' to each side of the equation. 8 + -8 + 1x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -15 + -8 1x = -15 + -8 Combine like terms: -15 + -8 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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