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Simplifying 9(x + 1) = 7x + 23 Reorder the terms: 9(1 + x) = 7x + 23 (1 * 9 + x * 9) = 7x + 23 (9 + 9x) = 7x + 23 Reorder the terms: 9 + 9x = 23 + 7x Solving 9 + 9x = 23 + 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. 9 + 9x + -7x = 23 + 7x + -7x Combine like terms: 9x + -7x = 2x 9 + 2x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 2x = 23 + 0 9 + 2x = 23 Add '-9' to each side of the equation. 9 + -9 + 2x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 23 + -9 2x = 23 + -9 Combine like terms: 23 + -9 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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