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