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Simplifying 5x + 0.10(240) = 0.40(x + 240) Multiply 0.10 * 240 5x + 24 = 0.40(x + 240) Reorder the terms: 24 + 5x = 0.40(x + 240) Reorder the terms: 24 + 5x = 0.40(240 + x) 24 + 5x = (240 * 0.40 + x * 0.40) 24 + 5x = (96 + 0.40x) Solving 24 + 5x = 96 + 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. 24 + 5x + -0.40x = 96 + 0.40x + -0.40x Combine like terms: 5x + -0.40x = 4.6x 24 + 4.6x = 96 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24 + 4.6x = 96 + 0.00 24 + 4.6x = 96 Add '-24' to each side of the equation. 24 + -24 + 4.6x = 96 + -24 Combine like terms: 24 + -24 = 0 0 + 4.6x = 96 + -24 4.6x = 96 + -24 Combine like terms: 96 + -24 = 72 4.6x = 72 Divide each side by '4.6'. x = 15.65217391 Simplifying x = 15.65217391
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