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Simplifying -3(x + 1) + -2(3 + -1x) = 12 Reorder the terms: -3(1 + x) + -2(3 + -1x) = 12 (1 * -3 + x * -3) + -2(3 + -1x) = 12 (-3 + -3x) + -2(3 + -1x) = 12 -3 + -3x + (3 * -2 + -1x * -2) = 12 -3 + -3x + (-6 + 2x) = 12 Reorder the terms: -3 + -6 + -3x + 2x = 12 Combine like terms: -3 + -6 = -9 -9 + -3x + 2x = 12 Combine like terms: -3x + 2x = -1x -9 + -1x = 12 Solving -9 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 12 + 9 -1x = 12 + 9 Combine like terms: 12 + 9 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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