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Simplifying 3(x + 2) = 2(x + -1) + -12 Reorder the terms: 3(2 + x) = 2(x + -1) + -12 (2 * 3 + x * 3) = 2(x + -1) + -12 (6 + 3x) = 2(x + -1) + -12 Reorder the terms: 6 + 3x = 2(-1 + x) + -12 6 + 3x = (-1 * 2 + x * 2) + -12 6 + 3x = (-2 + 2x) + -12 Reorder the terms: 6 + 3x = -2 + -12 + 2x Combine like terms: -2 + -12 = -14 6 + 3x = -14 + 2x Solving 6 + 3x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 3x + -2x = -14 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = -14 + 0 6 + 1x = -14 Add '-6' to each side of the equation. 6 + -6 + 1x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -14 + -6 1x = -14 + -6 Combine like terms: -14 + -6 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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