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Simplifying 120(x + 0.60) = 40(x + 0.70) Reorder the terms: 120(0.60 + x) = 40(x + 0.70) (0.60 * 120 + x * 120) = 40(x + 0.70) (72 + 120x) = 40(x + 0.70) Reorder the terms: 72 + 120x = 40(0.70 + x) 72 + 120x = (0.70 * 40 + x * 40) 72 + 120x = (28 + 40x) Solving 72 + 120x = 28 + 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. 72 + 120x + -40x = 28 + 40x + -40x Combine like terms: 120x + -40x = 80x 72 + 80x = 28 + 40x + -40x Combine like terms: 40x + -40x = 0 72 + 80x = 28 + 0 72 + 80x = 28 Add '-72' to each side of the equation. 72 + -72 + 80x = 28 + -72 Combine like terms: 72 + -72 = 0 0 + 80x = 28 + -72 80x = 28 + -72 Combine like terms: 28 + -72 = -44 80x = -44 Divide each side by '80'. x = -0.55 Simplifying x = -0.55
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