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Simplifying 8(35x + -67) = 9(21x + -43) Reorder the terms: 8(-67 + 35x) = 9(21x + -43) (-67 * 8 + 35x * 8) = 9(21x + -43) (-536 + 280x) = 9(21x + -43) Reorder the terms: -536 + 280x = 9(-43 + 21x) -536 + 280x = (-43 * 9 + 21x * 9) -536 + 280x = (-387 + 189x) Solving -536 + 280x = -387 + 189x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-189x' to each side of the equation. -536 + 280x + -189x = -387 + 189x + -189x Combine like terms: 280x + -189x = 91x -536 + 91x = -387 + 189x + -189x Combine like terms: 189x + -189x = 0 -536 + 91x = -387 + 0 -536 + 91x = -387 Add '536' to each side of the equation. -536 + 536 + 91x = -387 + 536 Combine like terms: -536 + 536 = 0 0 + 91x = -387 + 536 91x = -387 + 536 Combine like terms: -387 + 536 = 149 91x = 149 Divide each side by '91'. x = 1.637362637 Simplifying x = 1.637362637
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