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Simplifying -3(2x + -6) = 2(3x + -9) Reorder the terms: -3(-6 + 2x) = 2(3x + -9) (-6 * -3 + 2x * -3) = 2(3x + -9) (18 + -6x) = 2(3x + -9) Reorder the terms: 18 + -6x = 2(-9 + 3x) 18 + -6x = (-9 * 2 + 3x * 2) 18 + -6x = (-18 + 6x) Solving 18 + -6x = -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. 18 + -6x + -6x = -18 + 6x + -6x Combine like terms: -6x + -6x = -12x 18 + -12x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -12x = -18 + 0 18 + -12x = -18 Add '-18' to each side of the equation. 18 + -18 + -12x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = -18 + -18 -12x = -18 + -18 Combine like terms: -18 + -18 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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