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Simplifying 0.20(60) + 0.05 = 0.10(60 + x) Multiply 0.20 * 60 12 + 0.05 = 0.10(60 + x) Combine like terms: 12 + 0.05 = 12.05 12.05 = 0.10(60 + x) 12.05 = (60 * 0.10 + x * 0.10) 12.05 = (6 + 0.10x) Solving 12.05 = 6 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 12.05 + -0.10x = 6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 12.05 + -0.10x = 6 + 0.00 12.05 + -0.10x = 6 Add '-12.05' to each side of the equation. 12.05 + -12.05 + -0.10x = 6 + -12.05 Combine like terms: 12.05 + -12.05 = 0.00 0.00 + -0.10x = 6 + -12.05 -0.10x = 6 + -12.05 Combine like terms: 6 + -12.05 = -6.05 -0.10x = -6.05 Divide each side by '-0.10'. x = 60.5 Simplifying x = 60.5
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