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Simplifying -2(x + -2) + 4 = -3(x + 4) Reorder the terms: -2(-2 + x) + 4 = -3(x + 4) (-2 * -2 + x * -2) + 4 = -3(x + 4) (4 + -2x) + 4 = -3(x + 4) Reorder the terms: 4 + 4 + -2x = -3(x + 4) Combine like terms: 4 + 4 = 8 8 + -2x = -3(x + 4) Reorder the terms: 8 + -2x = -3(4 + x) 8 + -2x = (4 * -3 + x * -3) 8 + -2x = (-12 + -3x) Solving 8 + -2x = -12 + -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 = -12 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = -12 + 0 8 + 1x = -12 Add '-8' to each side of the equation. 8 + -8 + 1x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -12 + -8 1x = -12 + -8 Combine like terms: -12 + -8 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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