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Simplifying 3x + 50 = 2x + 100 Reorder the terms: 50 + 3x = 2x + 100 Reorder the terms: 50 + 3x = 100 + 2x Solving 50 + 3x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + 3x + -2x = 100 + 2x + -2x Combine like terms: 3x + -2x = 1x 50 + 1x = 100 + 2x + -2x Combine like terms: 2x + -2x = 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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