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Simplifying x + -1(x + 1) = 12 + -1(3x + -2) Reorder the terms: x + -1(1 + x) = 12 + -1(3x + -2) x + (1 * -1 + x * -1) = 12 + -1(3x + -2) x + (-1 + -1x) = 12 + -1(3x + -2) Reorder the terms: -1 + x + -1x = 12 + -1(3x + -2) Combine like terms: x + -1x = 0 -1 + 0 = 12 + -1(3x + -2) -1 = 12 + -1(3x + -2) Reorder the terms: -1 = 12 + -1(-2 + 3x) -1 = 12 + (-2 * -1 + 3x * -1) -1 = 12 + (2 + -3x) Combine like terms: 12 + 2 = 14 -1 = 14 + -3x Solving -1 = 14 + -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. -1 + 3x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 3x = 14 + 0 -1 + 3x = 14 Add '1' to each side of the equation. -1 + 1 + 3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 14 + 1 3x = 14 + 1 Combine like terms: 14 + 1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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