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Simplifying 2(-3x + 6) + -5(-1x + 6) = -12 Reorder the terms: 2(6 + -3x) + -5(-1x + 6) = -12 (6 * 2 + -3x * 2) + -5(-1x + 6) = -12 (12 + -6x) + -5(-1x + 6) = -12 Reorder the terms: 12 + -6x + -5(6 + -1x) = -12 12 + -6x + (6 * -5 + -1x * -5) = -12 12 + -6x + (-30 + 5x) = -12 Reorder the terms: 12 + -30 + -6x + 5x = -12 Combine like terms: 12 + -30 = -18 -18 + -6x + 5x = -12 Combine like terms: -6x + 5x = -1x -18 + -1x = -12 Solving -18 + -1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -12 + 18 -1x = -12 + 18 Combine like terms: -12 + 18 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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