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Simplifying 0.25(x + 60) + -0.03(x + -20) = 24.4 Reorder the terms: 0.25(60 + x) + -0.03(x + -20) = 24.4 (60 * 0.25 + x * 0.25) + -0.03(x + -20) = 24.4 (15 + 0.25x) + -0.03(x + -20) = 24.4 Reorder the terms: 15 + 0.25x + -0.03(-20 + x) = 24.4 15 + 0.25x + (-20 * -0.03 + x * -0.03) = 24.4 15 + 0.25x + (0.6 + -0.03x) = 24.4 Reorder the terms: 15 + 0.6 + 0.25x + -0.03x = 24.4 Combine like terms: 15 + 0.6 = 15.6 15.6 + 0.25x + -0.03x = 24.4 Combine like terms: 0.25x + -0.03x = 0.22x 15.6 + 0.22x = 24.4 Solving 15.6 + 0.22x = 24.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.6' to each side of the equation. 15.6 + -15.6 + 0.22x = 24.4 + -15.6 Combine like terms: 15.6 + -15.6 = 0.0 0.0 + 0.22x = 24.4 + -15.6 0.22x = 24.4 + -15.6 Combine like terms: 24.4 + -15.6 = 8.8 0.22x = 8.8 Divide each side by '0.22'. x = 40 Simplifying x = 40
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