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Simplifying 3x + 1 = 2x + 49 Reorder the terms: 1 + 3x = 2x + 49 Reorder the terms: 1 + 3x = 49 + 2x Solving 1 + 3x = 49 + 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. 1 + 3x + -2x = 49 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 49 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 49 + 0 1 + 1x = 49 Add '-1' to each side of the equation. 1 + -1 + 1x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 49 + -1 1x = 49 + -1 Combine like terms: 49 + -1 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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