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Simplifying -6(x + 8) = 9 + 12x Reorder the terms: -6(8 + x) = 9 + 12x (8 * -6 + x * -6) = 9 + 12x (-48 + -6x) = 9 + 12x Solving -48 + -6x = 9 + 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. -48 + -6x + -12x = 9 + 12x + -12x Combine like terms: -6x + -12x = -18x -48 + -18x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + -18x = 9 + 0 -48 + -18x = 9 Add '48' to each side of the equation. -48 + 48 + -18x = 9 + 48 Combine like terms: -48 + 48 = 0 0 + -18x = 9 + 48 -18x = 9 + 48 Combine like terms: 9 + 48 = 57 -18x = 57 Divide each side by '-18'. x = -3.166666667 Simplifying x = -3.166666667
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