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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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