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Simplifying 8x + 17 = 3(2x + -9) Reorder the terms: 17 + 8x = 3(2x + -9) Reorder the terms: 17 + 8x = 3(-9 + 2x) 17 + 8x = (-9 * 3 + 2x * 3) 17 + 8x = (-27 + 6x) Solving 17 + 8x = -27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 8x + -6x = -27 + 6x + -6x Combine like terms: 8x + -6x = 2x 17 + 2x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 2x = -27 + 0 17 + 2x = -27 Add '-17' to each side of the equation. 17 + -17 + 2x = -27 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -27 + -17 2x = -27 + -17 Combine like terms: -27 + -17 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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