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Simplifying 0.5(x + -10) + 0.7(x + 20) = 57 Reorder the terms: 0.5(-10 + x) + 0.7(x + 20) = 57 (-10 * 0.5 + x * 0.5) + 0.7(x + 20) = 57 (-5 + 0.5x) + 0.7(x + 20) = 57 Reorder the terms: -5 + 0.5x + 0.7(20 + x) = 57 -5 + 0.5x + (20 * 0.7 + x * 0.7) = 57 -5 + 0.5x + (14 + 0.7x) = 57 Reorder the terms: -5 + 14 + 0.5x + 0.7x = 57 Combine like terms: -5 + 14 = 9 9 + 0.5x + 0.7x = 57 Combine like terms: 0.5x + 0.7x = 1.2x 9 + 1.2x = 57 Solving 9 + 1.2x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1.2x = 57 + -9 Combine like terms: 9 + -9 = 0 0 + 1.2x = 57 + -9 1.2x = 57 + -9 Combine like terms: 57 + -9 = 48 1.2x = 48 Divide each side by '1.2'. x = 40 Simplifying x = 40
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