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Simplifying 9x + 3(x + 6) = 6(x + 2) Reorder the terms: 9x + 3(6 + x) = 6(x + 2) 9x + (6 * 3 + x * 3) = 6(x + 2) 9x + (18 + 3x) = 6(x + 2) Reorder the terms: 18 + 9x + 3x = 6(x + 2) Combine like terms: 9x + 3x = 12x 18 + 12x = 6(x + 2) Reorder the terms: 18 + 12x = 6(2 + x) 18 + 12x = (2 * 6 + x * 6) 18 + 12x = (12 + 6x) Solving 18 + 12x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x 18 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 6x = 12 + 0 18 + 6x = 12 Add '-18' to each side of the equation. 18 + -18 + 6x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 12 + -18 6x = 12 + -18 Combine like terms: 12 + -18 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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