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