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Simplifying 17(5 + x) + -20x = 8x + -14 (5 * 17 + x * 17) + -20x = 8x + -14 (85 + 17x) + -20x = 8x + -14 Combine like terms: 17x + -20x = -3x 85 + -3x = 8x + -14 Reorder the terms: 85 + -3x = -14 + 8x Solving 85 + -3x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 85 + -3x + -8x = -14 + 8x + -8x Combine like terms: -3x + -8x = -11x 85 + -11x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 85 + -11x = -14 + 0 85 + -11x = -14 Add '-85' to each side of the equation. 85 + -85 + -11x = -14 + -85 Combine like terms: 85 + -85 = 0 0 + -11x = -14 + -85 -11x = -14 + -85 Combine like terms: -14 + -85 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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