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Simplifying -6(2x + 3) = 12 + -6x Reorder the terms: -6(3 + 2x) = 12 + -6x (3 * -6 + 2x * -6) = 12 + -6x (-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 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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