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Simplifying 2x + 37 = 5x + 13 Reorder the terms: 37 + 2x = 5x + 13 Reorder the terms: 37 + 2x = 13 + 5x Solving 37 + 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. 37 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x 37 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -3x = 13 + 0 37 + -3x = 13 Add '-37' to each side of the equation. 37 + -37 + -3x = 13 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = 13 + -37 -3x = 13 + -37 Combine like terms: 13 + -37 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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