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Simplifying 2(x + -2) = 3(1 + x) Reorder the terms: 2(-2 + x) = 3(1 + x) (-2 * 2 + x * 2) = 3(1 + x) (-4 + 2x) = 3(1 + x) -4 + 2x = (1 * 3 + x * 3) -4 + 2x = (3 + 3x) Solving -4 + 2x = 3 + 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 = 3 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = 3 + 0 -4 + -1x = 3 Add '4' to each side of the equation. -4 + 4 + -1x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 3 + 4 -1x = 3 + 4 Combine like terms: 3 + 4 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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