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Simplifying x + 100 = 3x + 50 Reorder the terms: 100 + x = 3x + 50 Reorder the terms: 100 + x = 50 + 3x Solving 100 + x = 50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + x + -3x = 50 + 3x + -3x Combine like terms: x + -3x = -2x 100 + -2x = 50 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + -2x = 50 + 0 100 + -2x = 50 Add '-100' to each side of the equation. 100 + -100 + -2x = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 50 + -100 -2x = 50 + -100 Combine like terms: 50 + -100 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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