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Simplifying -12(x + 6) + -6(x + -6) = -1x + x Reorder the terms: -12(6 + x) + -6(x + -6) = -1x + x (6 * -12 + x * -12) + -6(x + -6) = -1x + x (-72 + -12x) + -6(x + -6) = -1x + x Reorder the terms: -72 + -12x + -6(-6 + x) = -1x + x -72 + -12x + (-6 * -6 + x * -6) = -1x + x -72 + -12x + (36 + -6x) = -1x + x Reorder the terms: -72 + 36 + -12x + -6x = -1x + x Combine like terms: -72 + 36 = -36 -36 + -12x + -6x = -1x + x Combine like terms: -12x + -6x = -18x -36 + -18x = -1x + x Combine like terms: -1x + x = 0 -36 + -18x = 0 Solving -36 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -18x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -18x = 0 + 36 -18x = 0 + 36 Combine like terms: 0 + 36 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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