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Simplifying -71 + 17x = 14x + 37 Reorder the terms: -71 + 17x = 37 + 14x Solving -71 + 17x = 37 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -71 + 17x + -14x = 37 + 14x + -14x Combine like terms: 17x + -14x = 3x -71 + 3x = 37 + 14x + -14x Combine like terms: 14x + -14x = 0 -71 + 3x = 37 + 0 -71 + 3x = 37 Add '71' to each side of the equation. -71 + 71 + 3x = 37 + 71 Combine like terms: -71 + 71 = 0 0 + 3x = 37 + 71 3x = 37 + 71 Combine like terms: 37 + 71 = 108 3x = 108 Divide each side by '3'. x = 36 Simplifying x = 36
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