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Simplifying -5x + 3(-4x + -5) = -117 Reorder the terms: -5x + 3(-5 + -4x) = -117 -5x + (-5 * 3 + -4x * 3) = -117 -5x + (-15 + -12x) = -117 Reorder the terms: -15 + -5x + -12x = -117 Combine like terms: -5x + -12x = -17x -15 + -17x = -117 Solving -15 + -17x = -117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -17x = -117 + 15 Combine like terms: -15 + 15 = 0 0 + -17x = -117 + 15 -17x = -117 + 15 Combine like terms: -117 + 15 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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