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Simplifying -6(x + 4) + -1(5x + 6) = -8 Reorder the terms: -6(4 + x) + -1(5x + 6) = -8 (4 * -6 + x * -6) + -1(5x + 6) = -8 (-24 + -6x) + -1(5x + 6) = -8 Reorder the terms: -24 + -6x + -1(6 + 5x) = -8 -24 + -6x + (6 * -1 + 5x * -1) = -8 -24 + -6x + (-6 + -5x) = -8 Reorder the terms: -24 + -6 + -6x + -5x = -8 Combine like terms: -24 + -6 = -30 -30 + -6x + -5x = -8 Combine like terms: -6x + -5x = -11x -30 + -11x = -8 Solving -30 + -11x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -11x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + -11x = -8 + 30 -11x = -8 + 30 Combine like terms: -8 + 30 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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