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Simplifying 2(x + -9) + -5(x + 6) = -12 Reorder the terms: 2(-9 + x) + -5(x + 6) = -12 (-9 * 2 + x * 2) + -5(x + 6) = -12 (-18 + 2x) + -5(x + 6) = -12 Reorder the terms: -18 + 2x + -5(6 + x) = -12 -18 + 2x + (6 * -5 + x * -5) = -12 -18 + 2x + (-30 + -5x) = -12 Reorder the terms: -18 + -30 + 2x + -5x = -12 Combine like terms: -18 + -30 = -48 -48 + 2x + -5x = -12 Combine like terms: 2x + -5x = -3x -48 + -3x = -12 Solving -48 + -3x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -3x = -12 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = -12 + 48 -3x = -12 + 48 Combine like terms: -12 + 48 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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