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Simplifying -3(4x + 5) + -5x = -117 Reorder the terms: -3(5 + 4x) + -5x = -117 (5 * -3 + 4x * -3) + -5x = -117 (-15 + -12x) + -5x = -117 Combine like terms: -12x + -5x = -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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