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Simplifying 9(x + 1) = 8x + 12 Reorder the terms: 9(1 + x) = 8x + 12 (1 * 9 + x * 9) = 8x + 12 (9 + 9x) = 8x + 12 Reorder the terms: 9 + 9x = 12 + 8x Solving 9 + 9x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 9x + -8x = 12 + 8x + -8x Combine like terms: 9x + -8x = 1x 9 + 1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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