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