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Simplifying 3(x + 2) + -2(2x + 2) = 2 Reorder the terms: 3(2 + x) + -2(2x + 2) = 2 (2 * 3 + x * 3) + -2(2x + 2) = 2 (6 + 3x) + -2(2x + 2) = 2 Reorder the terms: 6 + 3x + -2(2 + 2x) = 2 6 + 3x + (2 * -2 + 2x * -2) = 2 6 + 3x + (-4 + -4x) = 2 Reorder the terms: 6 + -4 + 3x + -4x = 2 Combine like terms: 6 + -4 = 2 2 + 3x + -4x = 2 Combine like terms: 3x + -4x = -1x 2 + -1x = 2 Add '-2' to each side of the equation. 2 + -2 + -1x = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 2 + -2 -1x = 2 + -2 Combine like terms: 2 + -2 = 0 -1x = 0 Solving -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = 0 Simplifying x = 0
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