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Simplifying 2x + 49 = 5x + 13 Reorder the terms: 49 + 2x = 5x + 13 Reorder the terms: 49 + 2x = 13 + 5x Solving 49 + 2x = 13 + 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. 49 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x 49 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + -3x = 13 + 0 49 + -3x = 13 Add '-49' to each side of the equation. 49 + -49 + -3x = 13 + -49 Combine like terms: 49 + -49 = 0 0 + -3x = 13 + -49 -3x = 13 + -49 Combine like terms: 13 + -49 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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