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Simplifying x + -2(2x + -100) = 500 Reorder the terms: x + -2(-100 + 2x) = 500 x + (-100 * -2 + 2x * -2) = 500 x + (200 + -4x) = 500 Reorder the terms: 200 + x + -4x = 500 Combine like terms: x + -4x = -3x 200 + -3x = 500 Solving 200 + -3x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -3x = 500 + -200 Combine like terms: 200 + -200 = 0 0 + -3x = 500 + -200 -3x = 500 + -200 Combine like terms: 500 + -200 = 300 -3x = 300 Divide each side by '-3'. x = -100 Simplifying x = -100
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