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Simplifying X + -1(x + -250) + 3(x + 250) = 3500 Reorder the terms: X + -1(-250 + x) + 3(x + 250) = 3500 X + (-250 * -1 + x * -1) + 3(x + 250) = 3500 X + (250 + -1x) + 3(x + 250) = 3500 Reorder the terms: X + 250 + -1x + 3(250 + x) = 3500 X + 250 + -1x + (250 * 3 + x * 3) = 3500 X + 250 + -1x + (750 + 3x) = 3500 Reorder the terms: 250 + 750 + X + -1x + 3x = 3500 Combine like terms: 250 + 750 = 1000 1000 + X + -1x + 3x = 3500 Combine like terms: -1x + 3x = 2x 1000 + X + 2x = 3500 Solving 1000 + X + 2x = 3500 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + X + -1000 + 2x = 3500 + -1000 Reorder the terms: 1000 + -1000 + X + 2x = 3500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + X + 2x = 3500 + -1000 X + 2x = 3500 + -1000 Combine like terms: 3500 + -1000 = 2500 X + 2x = 2500 Add '-2x' to each side of the equation. X + 2x + -2x = 2500 + -2x Combine like terms: 2x + -2x = 0 X + 0 = 2500 + -2x X = 2500 + -2x Simplifying X = 2500 + -2x
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