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Simplifying 5x + 640 = 1.50(x + 800) Reorder the terms: 640 + 5x = 1.50(x + 800) Reorder the terms: 640 + 5x = 1.50(800 + x) 640 + 5x = (800 * 1.50 + x * 1.50) 640 + 5x = (1200 + 1.50x) Solving 640 + 5x = 1200 + 1.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.50x' to each side of the equation. 640 + 5x + -1.50x = 1200 + 1.50x + -1.50x Combine like terms: 5x + -1.50x = 3.5x 640 + 3.5x = 1200 + 1.50x + -1.50x Combine like terms: 1.50x + -1.50x = 0.00 640 + 3.5x = 1200 + 0.00 640 + 3.5x = 1200 Add '-640' to each side of the equation. 640 + -640 + 3.5x = 1200 + -640 Combine like terms: 640 + -640 = 0 0 + 3.5x = 1200 + -640 3.5x = 1200 + -640 Combine like terms: 1200 + -640 = 560 3.5x = 560 Divide each side by '3.5'. x = 160 Simplifying x = 160
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