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Simplifying 15 + -1(x + 1) = 3(2 + -1x) Reorder the terms: 15 + -1(1 + x) = 3(2 + -1x) 15 + (1 * -1 + x * -1) = 3(2 + -1x) 15 + (-1 + -1x) = 3(2 + -1x) Combine like terms: 15 + -1 = 14 14 + -1x = 3(2 + -1x) 14 + -1x = (2 * 3 + -1x * 3) 14 + -1x = (6 + -3x) Solving 14 + -1x = 6 + -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. 14 + -1x + 3x = 6 + -3x + 3x Combine like terms: -1x + 3x = 2x 14 + 2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 2x = 6 + 0 14 + 2x = 6 Add '-14' to each side of the equation. 14 + -14 + 2x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 6 + -14 2x = 6 + -14 Combine like terms: 6 + -14 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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