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Simplifying 120x + 0.20 = 80x + 0.40 Reorder the terms: 0.20 + 120x = 80x + 0.40 Reorder the terms: 0.20 + 120x = 0.40 + 80x Solving 0.20 + 120x = 0.40 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 0.20 + 120x + -80x = 0.40 + 80x + -80x Combine like terms: 120x + -80x = 40x 0.20 + 40x = 0.40 + 80x + -80x Combine like terms: 80x + -80x = 0 0.20 + 40x = 0.40 + 0 0.20 + 40x = 0.40 Add '-0.20' to each side of the equation. 0.20 + -0.20 + 40x = 0.40 + -0.20 Combine like terms: 0.20 + -0.20 = 0.00 0.00 + 40x = 0.40 + -0.20 40x = 0.40 + -0.20 Combine like terms: 0.40 + -0.20 = 0.2 40x = 0.2 Divide each side by '40'. x = 0.005 Simplifying x = 0.005
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