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Simplifying -2(x + -4) = -3(x + 2) Reorder the terms: -2(-4 + x) = -3(x + 2) (-4 * -2 + x * -2) = -3(x + 2) (8 + -2x) = -3(x + 2) Reorder the terms: 8 + -2x = -3(2 + x) 8 + -2x = (2 * -3 + x * -3) 8 + -2x = (-6 + -3x) Solving 8 + -2x = -6 + -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 = -6 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = -6 + 0 8 + 1x = -6 Add '-8' to each side of the equation. 8 + -8 + 1x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -6 + -8 1x = -6 + -8 Combine like terms: -6 + -8 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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