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Simplifying 3x + 1 = 5x + 49 Reorder the terms: 1 + 3x = 5x + 49 Reorder the terms: 1 + 3x = 49 + 5x Solving 1 + 3x = 49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = 49 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = 49 + 5x + -5x Combine like terms: 5x + -5x = 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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