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Simplifying 37x + 1 = 38x + -1 Reorder the terms: 1 + 37x = 38x + -1 Reorder the terms: 1 + 37x = -1 + 38x Solving 1 + 37x = -1 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 1 + 37x + -38x = -1 + 38x + -38x Combine like terms: 37x + -38x = -1x 1 + -1x = -1 + 38x + -38x Combine like terms: 38x + -38x = 0 1 + -1x = -1 + 0 1 + -1x = -1 Add '-1' to each side of the equation. 1 + -1 + -1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -1 + -1 -1x = -1 + -1 Combine like terms: -1 + -1 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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