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Simplifying 3 = (x * 1.10) + ((x + 0.65) * 1.25) Reorder the terms for easier multiplication: 3 = (1.10x) + ((x + 0.65) * 1.25) Reorder the terms: 3 = (1.10x) + ((0.65 + x) * 1.25) Reorder the terms for easier multiplication: 3 = (1.10x) + (1.25(0.65 + x)) 3 = (1.10x) + ((0.65 * 1.25 + x * 1.25)) 3 = (1.10x) + ((0.8125 + 1.25x)) 3 = (1.10x) + (0.8125 + 1.25x) Remove parenthesis around (0.8125 + 1.25x) 3 = (1.10x) + 0.8125 + 1.25x Reorder the terms: 3 = 0.8125 + (1.10x) + 1.25x Combine like terms: (1.10x) + 1.25x = 2.35x 3 = 0.8125 + 2.35x Solving 3 = 0.8125 + 2.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.35x' to each side of the equation. 3 + -2.35x = 0.8125 + 2.35x + -2.35x Combine like terms: 2.35x + -2.35x = 0.00 3 + -2.35x = 0.8125 + 0.00 3 + -2.35x = 0.8125 Add '-3' to each side of the equation. 3 + -3 + -2.35x = 0.8125 + -3 Combine like terms: 3 + -3 = 0 0 + -2.35x = 0.8125 + -3 -2.35x = 0.8125 + -3 Combine like terms: 0.8125 + -3 = -2.1875 -2.35x = -2.1875 Divide each side by '-2.35'. x = 0.9308510638 Simplifying x = 0.9308510638
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