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Simplifying -6x + 6(6x + -12) = -282 Reorder the terms: -6x + 6(-12 + 6x) = -282 -6x + (-12 * 6 + 6x * 6) = -282 -6x + (-72 + 36x) = -282 Reorder the terms: -72 + -6x + 36x = -282 Combine like terms: -6x + 36x = 30x -72 + 30x = -282 Solving -72 + 30x = -282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 30x = -282 + 72 Combine like terms: -72 + 72 = 0 0 + 30x = -282 + 72 30x = -282 + 72 Combine like terms: -282 + 72 = -210 30x = -210 Divide each side by '30'. x = -7 Simplifying x = -7
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