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Simplifying -30x + 20(-9 + x) = -120 + -30x -30x + (-9 * 20 + x * 20) = -120 + -30x -30x + (-180 + 20x) = -120 + -30x Reorder the terms: -180 + -30x + 20x = -120 + -30x Combine like terms: -30x + 20x = -10x -180 + -10x = -120 + -30x Solving -180 + -10x = -120 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -180 + -10x + 30x = -120 + -30x + 30x Combine like terms: -10x + 30x = 20x -180 + 20x = -120 + -30x + 30x Combine like terms: -30x + 30x = 0 -180 + 20x = -120 + 0 -180 + 20x = -120 Add '180' to each side of the equation. -180 + 180 + 20x = -120 + 180 Combine like terms: -180 + 180 = 0 0 + 20x = -120 + 180 20x = -120 + 180 Combine like terms: -120 + 180 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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