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Simplifying 6(2x + -3) = 3(3x + -6) Reorder the terms: 6(-3 + 2x) = 3(3x + -6) (-3 * 6 + 2x * 6) = 3(3x + -6) (-18 + 12x) = 3(3x + -6) Reorder the terms: -18 + 12x = 3(-6 + 3x) -18 + 12x = (-6 * 3 + 3x * 3) -18 + 12x = (-18 + 9x) Add '18' to each side of the equation. -18 + 18 + 12x = -18 + 18 + 9x Combine like terms: -18 + 18 = 0 0 + 12x = -18 + 18 + 9x 12x = -18 + 18 + 9x Combine like terms: -18 + 18 = 0 12x = 0 + 9x 12x = 9x Solving 12x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x 3x = 9x + -9x Combine like terms: 9x + -9x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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