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Simplifying 700 * 390(x + -20) = 300 * 390(75 + -1x) Reorder the terms: 700 * 390(-20 + x) = 300 * 390(75 + -1x) Multiply 700 * 390 273000(-20 + x) = 300 * 390(75 + -1x) (-20 * 273000 + x * 273000) = 300 * 390(75 + -1x) (-5460000 + 273000x) = 300 * 390(75 + -1x) Multiply 300 * 390 -5460000 + 273000x = 117000(75 + -1x) -5460000 + 273000x = (75 * 117000 + -1x * 117000) -5460000 + 273000x = (8775000 + -117000x) Solving -5460000 + 273000x = 8775000 + -117000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '117000x' to each side of the equation. -5460000 + 273000x + 117000x = 8775000 + -117000x + 117000x Combine like terms: 273000x + 117000x = 390000x -5460000 + 390000x = 8775000 + -117000x + 117000x Combine like terms: -117000x + 117000x = 0 -5460000 + 390000x = 8775000 + 0 -5460000 + 390000x = 8775000 Add '5460000' to each side of the equation. -5460000 + 5460000 + 390000x = 8775000 + 5460000 Combine like terms: -5460000 + 5460000 = 0 0 + 390000x = 8775000 + 5460000 390000x = 8775000 + 5460000 Combine like terms: 8775000 + 5460000 = 14235000 390000x = 14235000 Divide each side by '390000'. x = 36.5 Simplifying x = 36.5
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