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Simplifying x + x + x + 500 = 1000 + 500 + x + 100 Reorder the terms: 500 + x + x + x = 1000 + 500 + x + 100 Combine like terms: x + x = 2x 500 + 2x + x = 1000 + 500 + x + 100 Combine like terms: 2x + x = 3x 500 + 3x = 1000 + 500 + x + 100 Reorder the terms: 500 + 3x = 1000 + 500 + 100 + x Combine like terms: 1000 + 500 = 1500 500 + 3x = 1500 + 100 + x Combine like terms: 1500 + 100 = 1600 500 + 3x = 1600 + x Solving 500 + 3x = 1600 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 500 + 3x + -1x = 1600 + x + -1x Combine like terms: 3x + -1x = 2x 500 + 2x = 1600 + x + -1x Combine like terms: x + -1x = 0 500 + 2x = 1600 + 0 500 + 2x = 1600 Add '-500' to each side of the equation. 500 + -500 + 2x = 1600 + -500 Combine like terms: 500 + -500 = 0 0 + 2x = 1600 + -500 2x = 1600 + -500 Combine like terms: 1600 + -500 = 1100 2x = 1100 Divide each side by '2'. x = 550 Simplifying x = 550
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