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Simplifying 29x + 37 = 28x + 38 Reorder the terms: 37 + 29x = 28x + 38 Reorder the terms: 37 + 29x = 38 + 28x Solving 37 + 29x = 38 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 37 + 29x + -28x = 38 + 28x + -28x Combine like terms: 29x + -28x = 1x 37 + 1x = 38 + 28x + -28x Combine like terms: 28x + -28x = 0 37 + 1x = 38 + 0 37 + 1x = 38 Add '-37' to each side of the equation. 37 + -37 + 1x = 38 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 38 + -37 1x = 38 + -37 Combine like terms: 38 + -37 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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