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Simplifying -17 + 8x = 9(3x + 5) Reorder the terms: -17 + 8x = 9(5 + 3x) -17 + 8x = (5 * 9 + 3x * 9) -17 + 8x = (45 + 27x) Solving -17 + 8x = 45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -17 + 8x + -27x = 45 + 27x + -27x Combine like terms: 8x + -27x = -19x -17 + -19x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 -17 + -19x = 45 + 0 -17 + -19x = 45 Add '17' to each side of the equation. -17 + 17 + -19x = 45 + 17 Combine like terms: -17 + 17 = 0 0 + -19x = 45 + 17 -19x = 45 + 17 Combine like terms: 45 + 17 = 62 -19x = 62 Divide each side by '-19'. x = -3.263157895 Simplifying x = -3.263157895
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