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Simplifying 5x + 17 = 9(-1x + 13 + 6x) + 20 Reorder the terms: 17 + 5x = 9(-1x + 13 + 6x) + 20 Reorder the terms: 17 + 5x = 9(13 + -1x + 6x) + 20 Combine like terms: -1x + 6x = 5x 17 + 5x = 9(13 + 5x) + 20 17 + 5x = (13 * 9 + 5x * 9) + 20 17 + 5x = (117 + 45x) + 20 Reorder the terms: 17 + 5x = 117 + 20 + 45x Combine like terms: 117 + 20 = 137 17 + 5x = 137 + 45x Solving 17 + 5x = 137 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 17 + 5x + -45x = 137 + 45x + -45x Combine like terms: 5x + -45x = -40x 17 + -40x = 137 + 45x + -45x Combine like terms: 45x + -45x = 0 17 + -40x = 137 + 0 17 + -40x = 137 Add '-17' to each side of the equation. 17 + -17 + -40x = 137 + -17 Combine like terms: 17 + -17 = 0 0 + -40x = 137 + -17 -40x = 137 + -17 Combine like terms: 137 + -17 = 120 -40x = 120 Divide each side by '-40'. x = -3 Simplifying x = -3
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