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Simplifying 2(x + 6) + -2(5 + -1x) = 3(x + -1) + 3 Reorder the terms: 2(6 + x) + -2(5 + -1x) = 3(x + -1) + 3 (6 * 2 + x * 2) + -2(5 + -1x) = 3(x + -1) + 3 (12 + 2x) + -2(5 + -1x) = 3(x + -1) + 3 12 + 2x + (5 * -2 + -1x * -2) = 3(x + -1) + 3 12 + 2x + (-10 + 2x) = 3(x + -1) + 3 Reorder the terms: 12 + -10 + 2x + 2x = 3(x + -1) + 3 Combine like terms: 12 + -10 = 2 2 + 2x + 2x = 3(x + -1) + 3 Combine like terms: 2x + 2x = 4x 2 + 4x = 3(x + -1) + 3 Reorder the terms: 2 + 4x = 3(-1 + x) + 3 2 + 4x = (-1 * 3 + x * 3) + 3 2 + 4x = (-3 + 3x) + 3 Reorder the terms: 2 + 4x = -3 + 3 + 3x Combine like terms: -3 + 3 = 0 2 + 4x = 0 + 3x 2 + 4x = 3x Solving 2 + 4x = 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. 2 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = 0 Add '-2' to each side of the equation. 2 + -2 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0 + -2 1x = 0 + -2 Combine like terms: 0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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