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Simplifying 3x + -1(100 + 2x) = 500 3x + (100 * -1 + 2x * -1) = 500 3x + (-100 + -2x) = 500 Reorder the terms: -100 + 3x + -2x = 500 Combine like terms: 3x + -2x = 1x -100 + 1x = 500 Solving -100 + 1x = 500 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 = 500 + 100 Combine like terms: -100 + 100 = 0 0 + 1x = 500 + 100 1x = 500 + 100 Combine like terms: 500 + 100 = 600 1x = 600 Divide each side by '1'. x = 600 Simplifying x = 600
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