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Simplifying 2.25x + 240 = (40 + x)(3.50) Reorder the terms: 240 + 2.25x = (40 + x)(3.50) Reorder the terms for easier multiplication: 240 + 2.25x = 3.50(40 + x) 240 + 2.25x = (40 * 3.50 + x * 3.50) 240 + 2.25x = (140 + 3.50x) Solving 240 + 2.25x = 140 + 3.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.50x' to each side of the equation. 240 + 2.25x + -3.50x = 140 + 3.50x + -3.50x Combine like terms: 2.25x + -3.50x = -1.25x 240 + -1.25x = 140 + 3.50x + -3.50x Combine like terms: 3.50x + -3.50x = 0.00 240 + -1.25x = 140 + 0.00 240 + -1.25x = 140 Add '-240' to each side of the equation. 240 + -240 + -1.25x = 140 + -240 Combine like terms: 240 + -240 = 0 0 + -1.25x = 140 + -240 -1.25x = 140 + -240 Combine like terms: 140 + -240 = -100 -1.25x = -100 Divide each side by '-1.25'. x = 80 Simplifying x = 80
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