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Simplifying 0.02(20) + 0.10(x) = 0.07(x + 20) Multiply 0.02 * 20 0.4 + 0.10(x) = 0.07(x + 20) Reorder the terms: 0.4 + 0.10x = 0.07(20 + x) 0.4 + 0.10x = (20 * 0.07 + x * 0.07) 0.4 + 0.10x = (1.4 + 0.07x) Solving 0.4 + 0.10x = 1.4 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 0.4 + 0.10x + -0.07x = 1.4 + 0.07x + -0.07x Combine like terms: 0.10x + -0.07x = 0.03x 0.4 + 0.03x = 1.4 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 0.4 + 0.03x = 1.4 + 0.00 0.4 + 0.03x = 1.4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.03x = 1.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.03x = 1.4 + -0.4 0.03x = 1.4 + -0.4 Combine like terms: 1.4 + -0.4 = 1 0.03x = 1 Divide each side by '0.03'. x = 33.33333333 Simplifying x = 33.33333333
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