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Simplifying 0.8(x + 300) = 0.87x + -271 Reorder the terms: 0.8(300 + x) = 0.87x + -271 (300 * 0.8 + x * 0.8) = 0.87x + -271 (240 + 0.8x) = 0.87x + -271 Reorder the terms: 240 + 0.8x = -271 + 0.87x Solving 240 + 0.8x = -271 + 0.87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.87x' to each side of the equation. 240 + 0.8x + -0.87x = -271 + 0.87x + -0.87x Combine like terms: 0.8x + -0.87x = -0.07x 240 + -0.07x = -271 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 240 + -0.07x = -271 + 0.00 240 + -0.07x = -271 Add '-240' to each side of the equation. 240 + -240 + -0.07x = -271 + -240 Combine like terms: 240 + -240 = 0 0 + -0.07x = -271 + -240 -0.07x = -271 + -240 Combine like terms: -271 + -240 = -511 -0.07x = -511 Divide each side by '-0.07'. x = 7300 Simplifying x = 7300
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