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Simplifying 0.10 + 0.70(600) = 0.20(600 + x) Multiply 0.70 * 600 0.10 + 420 = 0.20(600 + x) Combine like terms: 0.10 + 420 = 420.1 420.1 = 0.20(600 + x) 420.1 = (600 * 0.20 + x * 0.20) 420.1 = (120 + 0.20x) Solving 420.1 = 120 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 420.1 + -0.20x = 120 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 420.1 + -0.20x = 120 + 0.00 420.1 + -0.20x = 120 Add '-420.1' to each side of the equation. 420.1 + -420.1 + -0.20x = 120 + -420.1 Combine like terms: 420.1 + -420.1 = 0.0 0.0 + -0.20x = 120 + -420.1 -0.20x = 120 + -420.1 Combine like terms: 120 + -420.1 = -300.1 -0.20x = -300.1 Divide each side by '-0.20'. x = 1500.5 Simplifying x = 1500.5
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