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