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Simplifying (2x + -2) + -1(3x + 12) = -15 Reorder the terms: (-2 + 2x) + -1(3x + 12) = -15 Remove parenthesis around (-2 + 2x) -2 + 2x + -1(3x + 12) = -15 Reorder the terms: -2 + 2x + -1(12 + 3x) = -15 -2 + 2x + (12 * -1 + 3x * -1) = -15 -2 + 2x + (-12 + -3x) = -15 Reorder the terms: -2 + -12 + 2x + -3x = -15 Combine like terms: -2 + -12 = -14 -14 + 2x + -3x = -15 Combine like terms: 2x + -3x = -1x -14 + -1x = -15 Solving -14 + -1x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -15 + 14 -1x = -15 + 14 Combine like terms: -15 + 14 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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