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Simplifying 5(-24 + 16x) = -2(10x + 10) (-24 * 5 + 16x * 5) = -2(10x + 10) (-120 + 80x) = -2(10x + 10) Reorder the terms: -120 + 80x = -2(10 + 10x) -120 + 80x = (10 * -2 + 10x * -2) -120 + 80x = (-20 + -20x) Solving -120 + 80x = -20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -120 + 80x + 20x = -20 + -20x + 20x Combine like terms: 80x + 20x = 100x -120 + 100x = -20 + -20x + 20x Combine like terms: -20x + 20x = 0 -120 + 100x = -20 + 0 -120 + 100x = -20 Add '120' to each side of the equation. -120 + 120 + 100x = -20 + 120 Combine like terms: -120 + 120 = 0 0 + 100x = -20 + 120 100x = -20 + 120 Combine like terms: -20 + 120 = 100 100x = 100 Divide each side by '100'. x = 1 Simplifying x = 1
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