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Simplifying 1500(90 + -1x) = 750(x + -20) (90 * 1500 + -1x * 1500) = 750(x + -20) (135000 + -1500x) = 750(x + -20) Reorder the terms: 135000 + -1500x = 750(-20 + x) 135000 + -1500x = (-20 * 750 + x * 750) 135000 + -1500x = (-15000 + 750x) Solving 135000 + -1500x = -15000 + 750x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-750x' to each side of the equation. 135000 + -1500x + -750x = -15000 + 750x + -750x Combine like terms: -1500x + -750x = -2250x 135000 + -2250x = -15000 + 750x + -750x Combine like terms: 750x + -750x = 0 135000 + -2250x = -15000 + 0 135000 + -2250x = -15000 Add '-135000' to each side of the equation. 135000 + -135000 + -2250x = -15000 + -135000 Combine like terms: 135000 + -135000 = 0 0 + -2250x = -15000 + -135000 -2250x = -15000 + -135000 Combine like terms: -15000 + -135000 = -150000 -2250x = -150000 Divide each side by '-2250'. x = 66.66666667 Simplifying x = 66.66666667
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