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Simplifying 0.50x + 0.10(60) = 0.40(x + 60) Multiply 0.10 * 60 0.50x + 6 = 0.40(x + 60) Reorder the terms: 6 + 0.50x = 0.40(x + 60) Reorder the terms: 6 + 0.50x = 0.40(60 + x) 6 + 0.50x = (60 * 0.40 + x * 0.40) 6 + 0.50x = (24 + 0.40x) Solving 6 + 0.50x = 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. 6 + 0.50x + -0.40x = 24 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 6 + 0.1x = 24 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 6 + 0.1x = 24 + 0.00 6 + 0.1x = 24 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 24 + -6 0.1x = 24 + -6 Combine like terms: 24 + -6 = 18 0.1x = 18 Divide each side by '0.1'. x = 180 Simplifying x = 180
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