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Simplifying (-2)(x + -2) = 3(2 + x) + 3 Reorder the terms: -2(-2 + x) = 3(2 + x) + 3 (-2 * -2 + x * -2) = 3(2 + x) + 3 (4 + -2x) = 3(2 + x) + 3 4 + -2x = (2 * 3 + x * 3) + 3 4 + -2x = (6 + 3x) + 3 Reorder the terms: 4 + -2x = 6 + 3 + 3x Combine like terms: 6 + 3 = 9 4 + -2x = 9 + 3x Solving 4 + -2x = 9 + 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 = 9 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 9 + 0 4 + -5x = 9 Add '-4' to each side of the equation. 4 + -4 + -5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 9 + -4 -5x = 9 + -4 Combine like terms: 9 + -4 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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