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Simplifying 30x + 0.80(700) = 0.50(700 + x) Multiply 0.80 * 700 30x + 560 = 0.50(700 + x) Reorder the terms: 560 + 30x = 0.50(700 + x) 560 + 30x = (700 * 0.50 + x * 0.50) 560 + 30x = (350 + 0.50x) Solving 560 + 30x = 350 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 560 + 30x + -0.50x = 350 + 0.50x + -0.50x Combine like terms: 30x + -0.50x = 29.5x 560 + 29.5x = 350 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 560 + 29.5x = 350 + 0.00 560 + 29.5x = 350 Add '-560' to each side of the equation. 560 + -560 + 29.5x = 350 + -560 Combine like terms: 560 + -560 = 0 0 + 29.5x = 350 + -560 29.5x = 350 + -560 Combine like terms: 350 + -560 = -210 29.5x = -210 Divide each side by '29.5'. x = -7.118644068 Simplifying x = -7.118644068
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