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