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Simplifying 17 = 2(8x + 5) + 6(2x + 9) Reorder the terms: 17 = 2(5 + 8x) + 6(2x + 9) 17 = (5 * 2 + 8x * 2) + 6(2x + 9) 17 = (10 + 16x) + 6(2x + 9) Reorder the terms: 17 = 10 + 16x + 6(9 + 2x) 17 = 10 + 16x + (9 * 6 + 2x * 6) 17 = 10 + 16x + (54 + 12x) Reorder the terms: 17 = 10 + 54 + 16x + 12x Combine like terms: 10 + 54 = 64 17 = 64 + 16x + 12x Combine like terms: 16x + 12x = 28x 17 = 64 + 28x Solving 17 = 64 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 17 + -28x = 64 + 28x + -28x Combine like terms: 28x + -28x = 0 17 + -28x = 64 + 0 17 + -28x = 64 Add '-17' to each side of the equation. 17 + -17 + -28x = 64 + -17 Combine like terms: 17 + -17 = 0 0 + -28x = 64 + -17 -28x = 64 + -17 Combine like terms: 64 + -17 = 47 -28x = 47 Divide each side by '-28'. x = -1.678571429 Simplifying x = -1.678571429
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