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Simplifying 0.10 + 0.70(60) = 0.35(x + 60) Multiply 0.70 * 60 0.10 + 42 = 0.35(x + 60) Combine like terms: 0.10 + 42 = 42.1 42.1 = 0.35(x + 60) Reorder the terms: 42.1 = 0.35(60 + x) 42.1 = (60 * 0.35 + x * 0.35) 42.1 = (21 + 0.35x) Solving 42.1 = 21 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 42.1 + -0.35x = 21 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 42.1 + -0.35x = 21 + 0.00 42.1 + -0.35x = 21 Add '-42.1' to each side of the equation. 42.1 + -42.1 + -0.35x = 21 + -42.1 Combine like terms: 42.1 + -42.1 = 0.0 0.0 + -0.35x = 21 + -42.1 -0.35x = 21 + -42.1 Combine like terms: 21 + -42.1 = -21.1 -0.35x = -21.1 Divide each side by '-0.35'. x = 60.28571429 Simplifying x = 60.28571429
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