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Simplifying 9x + 1 = 7x + 31 Reorder the terms: 1 + 9x = 7x + 31 Reorder the terms: 1 + 9x = 31 + 7x Solving 1 + 9x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 9x + -7x = 31 + 7x + -7x Combine like terms: 9x + -7x = 2x 1 + 2x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 2x = 31 + 0 1 + 2x = 31 Add '-1' to each side of the equation. 1 + -1 + 2x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 31 + -1 2x = 31 + -1 Combine like terms: 31 + -1 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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