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Simplifying 3(1 + x) = 6(x + 2) + -2(x + -1) (1 * 3 + x * 3) = 6(x + 2) + -2(x + -1) (3 + 3x) = 6(x + 2) + -2(x + -1) Reorder the terms: 3 + 3x = 6(2 + x) + -2(x + -1) 3 + 3x = (2 * 6 + x * 6) + -2(x + -1) 3 + 3x = (12 + 6x) + -2(x + -1) Reorder the terms: 3 + 3x = 12 + 6x + -2(-1 + x) 3 + 3x = 12 + 6x + (-1 * -2 + x * -2) 3 + 3x = 12 + 6x + (2 + -2x) Reorder the terms: 3 + 3x = 12 + 2 + 6x + -2x Combine like terms: 12 + 2 = 14 3 + 3x = 14 + 6x + -2x Combine like terms: 6x + -2x = 4x 3 + 3x = 14 + 4x Solving 3 + 3x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 3x + -4x = 14 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 14 + 0 3 + -1x = 14 Add '-3' to each side of the equation. 3 + -3 + -1x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 14 + -3 -1x = 14 + -3 Combine like terms: 14 + -3 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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