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Simplifying 5(-6 + 6x) + -1x = -117 (-6 * 5 + 6x * 5) + -1x = -117 (-30 + 30x) + -1x = -117 Combine like terms: 30x + -1x = 29x -30 + 29x = -117 Solving -30 + 29x = -117 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 + 29x = -117 + 30 Combine like terms: -30 + 30 = 0 0 + 29x = -117 + 30 29x = -117 + 30 Combine like terms: -117 + 30 = -87 29x = -87 Divide each side by '29'. x = -3 Simplifying x = -3
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