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Simplifying 9(21 + -1x) = 17(2x + -1) (21 * 9 + -1x * 9) = 17(2x + -1) (189 + -9x) = 17(2x + -1) Reorder the terms: 189 + -9x = 17(-1 + 2x) 189 + -9x = (-1 * 17 + 2x * 17) 189 + -9x = (-17 + 34x) Solving 189 + -9x = -17 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 189 + -9x + -34x = -17 + 34x + -34x Combine like terms: -9x + -34x = -43x 189 + -43x = -17 + 34x + -34x Combine like terms: 34x + -34x = 0 189 + -43x = -17 + 0 189 + -43x = -17 Add '-189' to each side of the equation. 189 + -189 + -43x = -17 + -189 Combine like terms: 189 + -189 = 0 0 + -43x = -17 + -189 -43x = -17 + -189 Combine like terms: -17 + -189 = -206 -43x = -206 Divide each side by '-43'. x = 4.790697674 Simplifying x = 4.790697674
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