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