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Simplifying -6(3x + 6) = -8 + -4x Reorder the terms: -6(6 + 3x) = -8 + -4x (6 * -6 + 3x * -6) = -8 + -4x (-36 + -18x) = -8 + -4x Solving -36 + -18x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -36 + -18x + 4x = -8 + -4x + 4x Combine like terms: -18x + 4x = -14x -36 + -14x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + -14x = -8 + 0 -36 + -14x = -8 Add '36' to each side of the equation. -36 + 36 + -14x = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -14x = -8 + 36 -14x = -8 + 36 Combine like terms: -8 + 36 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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