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Simplifying 12(x + 6) = 9(x + 8) Reorder the terms: 12(6 + x) = 9(x + 8) (6 * 12 + x * 12) = 9(x + 8) (72 + 12x) = 9(x + 8) Reorder the terms: 72 + 12x = 9(8 + x) 72 + 12x = (8 * 9 + x * 9) 72 + 12x = (72 + 9x) Add '-72' to each side of the equation. 72 + -72 + 12x = 72 + -72 + 9x Combine like terms: 72 + -72 = 0 0 + 12x = 72 + -72 + 9x 12x = 72 + -72 + 9x Combine like terms: 72 + -72 = 0 12x = 0 + 9x 12x = 9x Solving 12x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x 3x = 9x + -9x Combine like terms: 9x + -9x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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