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Simplifying x + 0.16(60) = 0.40(60 + x) Multiply 0.16 * 60 x + 9.6 = 0.40(60 + x) Reorder the terms: 9.6 + x = 0.40(60 + x) 9.6 + x = (60 * 0.40 + x * 0.40) 9.6 + x = (24 + 0.40x) Solving 9.6 + x = 24 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 9.6 + x + -0.40x = 24 + 0.40x + -0.40x Combine like terms: x + -0.40x = 0.6x 9.6 + 0.6x = 24 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 9.6 + 0.6x = 24 + 0.00 9.6 + 0.6x = 24 Add '-9.6' to each side of the equation. 9.6 + -9.6 + 0.6x = 24 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 0.6x = 24 + -9.6 0.6x = 24 + -9.6 Combine like terms: 24 + -9.6 = 14.4 0.6x = 14.4 Divide each side by '0.6'. x = 24 Simplifying x = 24
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