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Simplifying 0.31(x + 20) + 0.27(x + 15) = 10.05 Reorder the terms: 0.31(20 + x) + 0.27(x + 15) = 10.05 (20 * 0.31 + x * 0.31) + 0.27(x + 15) = 10.05 (6.2 + 0.31x) + 0.27(x + 15) = 10.05 Reorder the terms: 6.2 + 0.31x + 0.27(15 + x) = 10.05 6.2 + 0.31x + (15 * 0.27 + x * 0.27) = 10.05 6.2 + 0.31x + (4.05 + 0.27x) = 10.05 Reorder the terms: 6.2 + 4.05 + 0.31x + 0.27x = 10.05 Combine like terms: 6.2 + 4.05 = 10.25 10.25 + 0.31x + 0.27x = 10.05 Combine like terms: 0.31x + 0.27x = 0.58x 10.25 + 0.58x = 10.05 Solving 10.25 + 0.58x = 10.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.25' to each side of the equation. 10.25 + -10.25 + 0.58x = 10.05 + -10.25 Combine like terms: 10.25 + -10.25 = 0.00 0.00 + 0.58x = 10.05 + -10.25 0.58x = 10.05 + -10.25 Combine like terms: 10.05 + -10.25 = -0.2 0.58x = -0.2 Divide each side by '0.58'. x = -0.3448275862 Simplifying x = -0.3448275862
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