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Simplifying 2x + 50 = x + 100 Reorder the terms: 50 + 2x = x + 100 Reorder the terms: 50 + 2x = 100 + x Solving 50 + 2x = 100 + 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. 50 + 2x + -1x = 100 + x + -1x Combine like terms: 2x + -1x = 1x 50 + 1x = 100 + x + -1x Combine like terms: x + -1x = 0 50 + 1x = 100 + 0 50 + 1x = 100 Add '-50' to each side of the equation. 50 + -50 + 1x = 100 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 100 + -50 1x = 100 + -50 Combine like terms: 100 + -50 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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