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