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Simplifying -117 = 8 + -5(1 + -6x) -117 = 8 + (1 * -5 + -6x * -5) -117 = 8 + (-5 + 30x) Combine like terms: 8 + -5 = 3 -117 = 3 + 30x Solving -117 = 3 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -117 + -30x = 3 + 30x + -30x Combine like terms: 30x + -30x = 0 -117 + -30x = 3 + 0 -117 + -30x = 3 Add '117' to each side of the equation. -117 + 117 + -30x = 3 + 117 Combine like terms: -117 + 117 = 0 0 + -30x = 3 + 117 -30x = 3 + 117 Combine like terms: 3 + 117 = 120 -30x = 120 Divide each side by '-30'. x = -4 Simplifying x = -4
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