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Simplifying 13000 = 500(x + -25) + -12000 Reorder the terms: 13000 = 500(-25 + x) + -12000 13000 = (-25 * 500 + x * 500) + -12000 13000 = (-12500 + 500x) + -12000 Reorder the terms: 13000 = -12500 + -12000 + 500x Combine like terms: -12500 + -12000 = -24500 13000 = -24500 + 500x Solving 13000 = -24500 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. 13000 + -500x = -24500 + 500x + -500x Combine like terms: 500x + -500x = 0 13000 + -500x = -24500 + 0 13000 + -500x = -24500 Add '-13000' to each side of the equation. 13000 + -13000 + -500x = -24500 + -13000 Combine like terms: 13000 + -13000 = 0 0 + -500x = -24500 + -13000 -500x = -24500 + -13000 Combine like terms: -24500 + -13000 = -37500 -500x = -37500 Divide each side by '-500'. x = 75 Simplifying x = 75
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