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Simplifying 2(3x + 6) = 3(3x + -6) Reorder the terms: 2(6 + 3x) = 3(3x + -6) (6 * 2 + 3x * 2) = 3(3x + -6) (12 + 6x) = 3(3x + -6) Reorder the terms: 12 + 6x = 3(-6 + 3x) 12 + 6x = (-6 * 3 + 3x * 3) 12 + 6x = (-18 + 9x) Solving 12 + 6x = -18 + 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. 12 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x 12 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -3x = -18 + 0 12 + -3x = -18 Add '-12' to each side of the equation. 12 + -12 + -3x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -18 + -12 -3x = -18 + -12 Combine like terms: -18 + -12 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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