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Simplifying -6(5x + 6) = -6(3x + -6) Reorder the terms: -6(6 + 5x) = -6(3x + -6) (6 * -6 + 5x * -6) = -6(3x + -6) (-36 + -30x) = -6(3x + -6) Reorder the terms: -36 + -30x = -6(-6 + 3x) -36 + -30x = (-6 * -6 + 3x * -6) -36 + -30x = (36 + -18x) Solving -36 + -30x = 36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -36 + -30x + 18x = 36 + -18x + 18x Combine like terms: -30x + 18x = -12x -36 + -12x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 -36 + -12x = 36 + 0 -36 + -12x = 36 Add '36' to each side of the equation. -36 + 36 + -12x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -12x = 36 + 36 -12x = 36 + 36 Combine like terms: 36 + 36 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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