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Simplifying 7x + 1 + -2x + 7 = 38 Reorder the terms: 1 + 7 + 7x + -2x = 38 Combine like terms: 1 + 7 = 8 8 + 7x + -2x = 38 Combine like terms: 7x + -2x = 5x 8 + 5x = 38 Solving 8 + 5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 38 + -8 5x = 38 + -8 Combine like terms: 38 + -8 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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