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Simplifying 0.50x + 0.30(180 + -1x) = 0.40(180) 0.50x + (180 * 0.30 + -1x * 0.30) = 0.40(180) 0.50x + (54 + -0.3x) = 0.40(180) Reorder the terms: 54 + 0.50x + -0.3x = 0.40(180) Combine like terms: 0.50x + -0.3x = 0.2x 54 + 0.2x = 0.40(180) Multiply 0.40 * 180 54 + 0.2x = 72 Solving 54 + 0.2x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 0.2x = 72 + -54 Combine like terms: 54 + -54 = 0 0 + 0.2x = 72 + -54 0.2x = 72 + -54 Combine like terms: 72 + -54 = 18 0.2x = 18 Divide each side by '0.2'. x = 90 Simplifying x = 90
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