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Simplifying 5x + 37 = 3x + 71 Reorder the terms: 37 + 5x = 3x + 71 Reorder the terms: 37 + 5x = 71 + 3x Solving 37 + 5x = 71 + 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. 37 + 5x + -3x = 71 + 3x + -3x Combine like terms: 5x + -3x = 2x 37 + 2x = 71 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + 2x = 71 + 0 37 + 2x = 71 Add '-37' to each side of the equation. 37 + -37 + 2x = 71 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 71 + -37 2x = 71 + -37 Combine like terms: 71 + -37 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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