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Simplifying 0.50x + 2(500) = 1.40(200 + x) Multiply 2 * 500 0.50x + 1000 = 1.40(200 + x) Reorder the terms: 1000 + 0.50x = 1.40(200 + x) 1000 + 0.50x = (200 * 1.40 + x * 1.40) 1000 + 0.50x = (280 + 1.40x) Solving 1000 + 0.50x = 280 + 1.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.40x' to each side of the equation. 1000 + 0.50x + -1.40x = 280 + 1.40x + -1.40x Combine like terms: 0.50x + -1.40x = -0.9x 1000 + -0.9x = 280 + 1.40x + -1.40x Combine like terms: 1.40x + -1.40x = 0.00 1000 + -0.9x = 280 + 0.00 1000 + -0.9x = 280 Add '-1000' to each side of the equation. 1000 + -1000 + -0.9x = 280 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -0.9x = 280 + -1000 -0.9x = 280 + -1000 Combine like terms: 280 + -1000 = -720 -0.9x = -720 Divide each side by '-0.9'. x = 800 Simplifying x = 800
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