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Simplifying 3(x + 9) = 6x + 6 + 12 Reorder the terms: 3(9 + x) = 6x + 6 + 12 (9 * 3 + x * 3) = 6x + 6 + 12 (27 + 3x) = 6x + 6 + 12 Reorder the terms: 27 + 3x = 6 + 12 + 6x Combine like terms: 6 + 12 = 18 27 + 3x = 18 + 6x Solving 27 + 3x = 18 + 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. 27 + 3x + -6x = 18 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = 18 + 0 27 + -3x = 18 Add '-27' to each side of the equation. 27 + -27 + -3x = 18 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 18 + -27 -3x = 18 + -27 Combine like terms: 18 + -27 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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