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Simplifying 0.10 + 0.50(40) = 0.40(40 + x) Multiply 0.50 * 40 0.10 + 20 = 0.40(40 + x) Combine like terms: 0.10 + 20 = 20.1 20.1 = 0.40(40 + x) 20.1 = (40 * 0.40 + x * 0.40) 20.1 = (16 + 0.40x) Solving 20.1 = 16 + 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. 20.1 + -0.40x = 16 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 20.1 + -0.40x = 16 + 0.00 20.1 + -0.40x = 16 Add '-20.1' to each side of the equation. 20.1 + -20.1 + -0.40x = 16 + -20.1 Combine like terms: 20.1 + -20.1 = 0.0 0.0 + -0.40x = 16 + -20.1 -0.40x = 16 + -20.1 Combine like terms: 16 + -20.1 = -4.1 -0.40x = -4.1 Divide each side by '-0.40'. x = 10.25 Simplifying x = 10.25
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