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Simplifying 0.07(4500) = 0.055x + (4500 + -1x)(0.08) Multiply 0.07 * 4500 315 = 0.055x + (4500 + -1x)(0.08) Reorder the terms for easier multiplication: 315 = 0.055x + 0.08(4500 + -1x) 315 = 0.055x + (4500 * 0.08 + -1x * 0.08) 315 = 0.055x + (360 + -0.08x) Reorder the terms: 315 = 360 + 0.055x + -0.08x Combine like terms: 0.055x + -0.08x = -0.025x 315 = 360 + -0.025x Solving 315 = 360 + -0.025x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.025x' to each side of the equation. 315 + 0.025x = 360 + -0.025x + 0.025x Combine like terms: -0.025x + 0.025x = 0.000 315 + 0.025x = 360 + 0.000 315 + 0.025x = 360 Add '-315' to each side of the equation. 315 + -315 + 0.025x = 360 + -315 Combine like terms: 315 + -315 = 0 0 + 0.025x = 360 + -315 0.025x = 360 + -315 Combine like terms: 360 + -315 = 45 0.025x = 45 Divide each side by '0.025'. x = 1800 Simplifying x = 1800
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