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Simplifying 2(22x + -17) = -9(30 + -1x) Reorder the terms: 2(-17 + 22x) = -9(30 + -1x) (-17 * 2 + 22x * 2) = -9(30 + -1x) (-34 + 44x) = -9(30 + -1x) -34 + 44x = (30 * -9 + -1x * -9) -34 + 44x = (-270 + 9x) Solving -34 + 44x = -270 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -34 + 44x + -9x = -270 + 9x + -9x Combine like terms: 44x + -9x = 35x -34 + 35x = -270 + 9x + -9x Combine like terms: 9x + -9x = 0 -34 + 35x = -270 + 0 -34 + 35x = -270 Add '34' to each side of the equation. -34 + 34 + 35x = -270 + 34 Combine like terms: -34 + 34 = 0 0 + 35x = -270 + 34 35x = -270 + 34 Combine like terms: -270 + 34 = -236 35x = -236 Divide each side by '35'. x = -6.742857143 Simplifying x = -6.742857143
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