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Simplifying 2x + 3(500 + -1x) = 1300 2x + (500 * 3 + -1x * 3) = 1300 2x + (1500 + -3x) = 1300 Reorder the terms: 1500 + 2x + -3x = 1300 Combine like terms: 2x + -3x = -1x 1500 + -1x = 1300 Solving 1500 + -1x = 1300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -1x = 1300 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -1x = 1300 + -1500 -1x = 1300 + -1500 Combine like terms: 1300 + -1500 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200
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