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Simplifying -3(2x + 6) = 6(2x + -12) Reorder the terms: -3(6 + 2x) = 6(2x + -12) (6 * -3 + 2x * -3) = 6(2x + -12) (-18 + -6x) = 6(2x + -12) Reorder the terms: -18 + -6x = 6(-12 + 2x) -18 + -6x = (-12 * 6 + 2x * 6) -18 + -6x = (-72 + 12x) Solving -18 + -6x = -72 + 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 = -72 + 12x + -12x Combine like terms: -6x + -12x = -18x -18 + -18x = -72 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -18x = -72 + 0 -18 + -18x = -72 Add '18' to each side of the equation. -18 + 18 + -18x = -72 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = -72 + 18 -18x = -72 + 18 Combine like terms: -72 + 18 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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