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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 = -172 -43x = -172 Divide each side by '-43'. x = 4 Simplifying x = 4
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