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Simplifying 1.20(500) + 0.80x = 1.05(500 + x) Multiply 1.20 * 500 600 + 0.80x = 1.05(500 + x) 600 + 0.80x = (500 * 1.05 + x * 1.05) 600 + 0.80x = (525 + 1.05x) Solving 600 + 0.80x = 525 + 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 600 + 0.80x + -1.05x = 525 + 1.05x + -1.05x Combine like terms: 0.80x + -1.05x = -0.25x 600 + -0.25x = 525 + 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 600 + -0.25x = 525 + 0.00 600 + -0.25x = 525 Add '-600' to each side of the equation. 600 + -600 + -0.25x = 525 + -600 Combine like terms: 600 + -600 = 0 0 + -0.25x = 525 + -600 -0.25x = 525 + -600 Combine like terms: 525 + -600 = -75 -0.25x = -75 Divide each side by '-0.25'. x = 300 Simplifying x = 300
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