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Simplifying 0.5x + 0.7(800 + -1x) = 52 0.5x + (800 * 0.7 + -1x * 0.7) = 52 0.5x + (560 + -0.7x) = 52 Reorder the terms: 560 + 0.5x + -0.7x = 52 Combine like terms: 0.5x + -0.7x = -0.2x 560 + -0.2x = 52 Solving 560 + -0.2x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-560' to each side of the equation. 560 + -560 + -0.2x = 52 + -560 Combine like terms: 560 + -560 = 0 0 + -0.2x = 52 + -560 -0.2x = 52 + -560 Combine like terms: 52 + -560 = -508 -0.2x = -508 Divide each side by '-0.2'. x = 2540 Simplifying x = 2540
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