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Simplifying 120(5 + -1x) = 40(5 + x) (5 * 120 + -1x * 120) = 40(5 + x) (600 + -120x) = 40(5 + x) 600 + -120x = (5 * 40 + x * 40) 600 + -120x = (200 + 40x) Solving 600 + -120x = 200 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 600 + -120x + -40x = 200 + 40x + -40x Combine like terms: -120x + -40x = -160x 600 + -160x = 200 + 40x + -40x Combine like terms: 40x + -40x = 0 600 + -160x = 200 + 0 600 + -160x = 200 Add '-600' to each side of the equation. 600 + -600 + -160x = 200 + -600 Combine like terms: 600 + -600 = 0 0 + -160x = 200 + -600 -160x = 200 + -600 Combine like terms: 200 + -600 = -400 -160x = -400 Divide each side by '-160'. x = 2.5 Simplifying x = 2.5
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