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Simplifying 2(x + -100) + -1(x + -300) = 502 Reorder the terms: 2(-100 + x) + -1(x + -300) = 502 (-100 * 2 + x * 2) + -1(x + -300) = 502 (-200 + 2x) + -1(x + -300) = 502 Reorder the terms: -200 + 2x + -1(-300 + x) = 502 -200 + 2x + (-300 * -1 + x * -1) = 502 -200 + 2x + (300 + -1x) = 502 Reorder the terms: -200 + 300 + 2x + -1x = 502 Combine like terms: -200 + 300 = 100 100 + 2x + -1x = 502 Combine like terms: 2x + -1x = 1x 100 + 1x = 502 Solving 100 + 1x = 502 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 1x = 502 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 502 + -100 1x = 502 + -100 Combine like terms: 502 + -100 = 402 1x = 402 Divide each side by '1'. x = 402 Simplifying x = 402
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