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Simplifying 500 = 0.075x + -1(750 + 0.25x) 500 = 0.075x + (750 * -1 + 0.25x * -1) 500 = 0.075x + (-750 + -0.25x) Reorder the terms: 500 = -750 + 0.075x + -0.25x Combine like terms: 0.075x + -0.25x = -0.175x 500 = -750 + -0.175x Solving 500 = -750 + -0.175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.175x' to each side of the equation. 500 + 0.175x = -750 + -0.175x + 0.175x Combine like terms: -0.175x + 0.175x = 0.000 500 + 0.175x = -750 + 0.000 500 + 0.175x = -750 Add '-500' to each side of the equation. 500 + -500 + 0.175x = -750 + -500 Combine like terms: 500 + -500 = 0 0 + 0.175x = -750 + -500 0.175x = -750 + -500 Combine like terms: -750 + -500 = -1250 0.175x = -1250 Divide each side by '0.175'. x = -7142.857143 Simplifying x = -7142.857143
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