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Simplifying 9(x + 1) = 25 + x Reorder the terms: 9(1 + x) = 25 + x (1 * 9 + x * 9) = 25 + x (9 + 9x) = 25 + x Solving 9 + 9x = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 9x + -1x = 25 + x + -1x Combine like terms: 9x + -1x = 8x 9 + 8x = 25 + x + -1x Combine like terms: x + -1x = 0 9 + 8x = 25 + 0 9 + 8x = 25 Add '-9' to each side of the equation. 9 + -9 + 8x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 25 + -9 8x = 25 + -9 Combine like terms: 25 + -9 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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