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Simplifying 2(x + -2) = 3(x + 4) Reorder the terms: 2(-2 + x) = 3(x + 4) (-2 * 2 + x * 2) = 3(x + 4) (-4 + 2x) = 3(x + 4) Reorder the terms: -4 + 2x = 3(4 + x) -4 + 2x = (4 * 3 + x * 3) -4 + 2x = (12 + 3x) Solving -4 + 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. -4 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = 12 + 0 -4 + -1x = 12 Add '4' to each side of the equation. -4 + 4 + -1x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 12 + 4 -1x = 12 + 4 Combine like terms: 12 + 4 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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