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