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Simplifying 37x + 1 = 5(17 + -1x) Reorder the terms: 1 + 37x = 5(17 + -1x) 1 + 37x = (17 * 5 + -1x * 5) 1 + 37x = (85 + -5x) Solving 1 + 37x = 85 + -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. 1 + 37x + 5x = 85 + -5x + 5x Combine like terms: 37x + 5x = 42x 1 + 42x = 85 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 42x = 85 + 0 1 + 42x = 85 Add '-1' to each side of the equation. 1 + -1 + 42x = 85 + -1 Combine like terms: 1 + -1 = 0 0 + 42x = 85 + -1 42x = 85 + -1 Combine like terms: 85 + -1 = 84 42x = 84 Divide each side by '42'. x = 2 Simplifying x = 2
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