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Simplifying -0.10(24) + 0.40x = 0.05(x + 20) Multiply -0.10 * 24 -2.4 + 0.40x = 0.05(x + 20) Reorder the terms: -2.4 + 0.40x = 0.05(20 + x) -2.4 + 0.40x = (20 * 0.05 + x * 0.05) -2.4 + 0.40x = (1 + 0.05x) Solving -2.4 + 0.40x = 1 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -2.4 + 0.40x + -0.05x = 1 + 0.05x + -0.05x Combine like terms: 0.40x + -0.05x = 0.35x -2.4 + 0.35x = 1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.4 + 0.35x = 1 + 0.00 -2.4 + 0.35x = 1 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.35x = 1 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.35x = 1 + 2.4 0.35x = 1 + 2.4 Combine like terms: 1 + 2.4 = 3.4 0.35x = 3.4 Divide each side by '0.35'. x = 9.714285714 Simplifying x = 9.714285714
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