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Simplifying 2(x + 6) + -3(x + -1) = 3(x + 1) Reorder the terms: 2(6 + x) + -3(x + -1) = 3(x + 1) (6 * 2 + x * 2) + -3(x + -1) = 3(x + 1) (12 + 2x) + -3(x + -1) = 3(x + 1) Reorder the terms: 12 + 2x + -3(-1 + x) = 3(x + 1) 12 + 2x + (-1 * -3 + x * -3) = 3(x + 1) 12 + 2x + (3 + -3x) = 3(x + 1) Reorder the terms: 12 + 3 + 2x + -3x = 3(x + 1) Combine like terms: 12 + 3 = 15 15 + 2x + -3x = 3(x + 1) Combine like terms: 2x + -3x = -1x 15 + -1x = 3(x + 1) Reorder the terms: 15 + -1x = 3(1 + x) 15 + -1x = (1 * 3 + x * 3) 15 + -1x = (3 + 3x) Solving 15 + -1x = 3 + 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. 15 + -1x + -3x = 3 + 3x + -3x Combine like terms: -1x + -3x = -4x 15 + -4x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -4x = 3 + 0 15 + -4x = 3 Add '-15' to each side of the equation. 15 + -15 + -4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 3 + -15 -4x = 3 + -15 Combine like terms: 3 + -15 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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