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Simplifying 5x + 1 = 3x + 49 Reorder the terms: 1 + 5x = 3x + 49 Reorder the terms: 1 + 5x = 49 + 3x Solving 1 + 5x = 49 + 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. 1 + 5x + -3x = 49 + 3x + -3x Combine like terms: 5x + -3x = 2x 1 + 2x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 2x = 49 + 0 1 + 2x = 49 Add '-1' to each side of the equation. 1 + -1 + 2x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 49 + -1 2x = 49 + -1 Combine like terms: 49 + -1 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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