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Simplifying -3(x + -1) + -1(8x + 2) = 12 Reorder the terms: -3(-1 + x) + -1(8x + 2) = 12 (-1 * -3 + x * -3) + -1(8x + 2) = 12 (3 + -3x) + -1(8x + 2) = 12 Reorder the terms: 3 + -3x + -1(2 + 8x) = 12 3 + -3x + (2 * -1 + 8x * -1) = 12 3 + -3x + (-2 + -8x) = 12 Reorder the terms: 3 + -2 + -3x + -8x = 12 Combine like terms: 3 + -2 = 1 1 + -3x + -8x = 12 Combine like terms: -3x + -8x = -11x 1 + -11x = 12 Solving 1 + -11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -11x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 12 + -1 -11x = 12 + -1 Combine like terms: 12 + -1 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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