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Simplifying 500 = 5x + -1(750 + 2x) 500 = 5x + (750 * -1 + 2x * -1) 500 = 5x + (-750 + -2x) Reorder the terms: 500 = -750 + 5x + -2x Combine like terms: 5x + -2x = 3x 500 = -750 + 3x Solving 500 = -750 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 500 + -3x = -750 + 3x + -3x Combine like terms: 3x + -3x = 0 500 + -3x = -750 + 0 500 + -3x = -750 Add '-500' to each side of the equation. 500 + -500 + -3x = -750 + -500 Combine like terms: 500 + -500 = 0 0 + -3x = -750 + -500 -3x = -750 + -500 Combine like terms: -750 + -500 = -1250 -3x = -1250 Divide each side by '-3'. x = 416.6666667 Simplifying x = 416.6666667
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