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Simplifying 0.10x + 5(0.20) = 0.13(x + 5) Multiply 5 * 0.20 0.10x + 1 = 0.13(x + 5) Reorder the terms: 1 + 0.10x = 0.13(x + 5) Reorder the terms: 1 + 0.10x = 0.13(5 + x) 1 + 0.10x = (5 * 0.13 + x * 0.13) 1 + 0.10x = (0.65 + 0.13x) Solving 1 + 0.10x = 0.65 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 1 + 0.10x + -0.13x = 0.65 + 0.13x + -0.13x Combine like terms: 0.10x + -0.13x = -0.03x 1 + -0.03x = 0.65 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 1 + -0.03x = 0.65 + 0.00 1 + -0.03x = 0.65 Add '-1' to each side of the equation. 1 + -1 + -0.03x = 0.65 + -1 Combine like terms: 1 + -1 = 0 0 + -0.03x = 0.65 + -1 -0.03x = 0.65 + -1 Combine like terms: 0.65 + -1 = -0.35 -0.03x = -0.35 Divide each side by '-0.03'. x = 11.66666667 Simplifying x = 11.66666667
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