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Simplifying 3(-6x + 3) = -117 Reorder the terms: 3(3 + -6x) = -117 (3 * 3 + -6x * 3) = -117 (9 + -18x) = -117 Solving 9 + -18x = -117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18x = -117 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = -117 + -9 -18x = -117 + -9 Combine like terms: -117 + -9 = -126 -18x = -126 Divide each side by '-18'. x = 7 Simplifying x = 7
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