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Simplifying 0.2(x + 40) + -0.03(x + -50) = 112 Reorder the terms: 0.2(40 + x) + -0.03(x + -50) = 112 (40 * 0.2 + x * 0.2) + -0.03(x + -50) = 112 (8 + 0.2x) + -0.03(x + -50) = 112 Reorder the terms: 8 + 0.2x + -0.03(-50 + x) = 112 8 + 0.2x + (-50 * -0.03 + x * -0.03) = 112 8 + 0.2x + (1.5 + -0.03x) = 112 Reorder the terms: 8 + 1.5 + 0.2x + -0.03x = 112 Combine like terms: 8 + 1.5 = 9.5 9.5 + 0.2x + -0.03x = 112 Combine like terms: 0.2x + -0.03x = 0.17x 9.5 + 0.17x = 112 Solving 9.5 + 0.17x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + 0.17x = 112 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 0.17x = 112 + -9.5 0.17x = 112 + -9.5 Combine like terms: 112 + -9.5 = 102.5 0.17x = 102.5 Divide each side by '0.17'. x = 602.9411765 Simplifying x = 602.9411765
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