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Simplifying -27 + -1x = 6x + 33 Reorder the terms: -27 + -1x = 33 + 6x Solving -27 + -1x = 33 + 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. -27 + -1x + -6x = 33 + 6x + -6x Combine like terms: -1x + -6x = -7x -27 + -7x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -7x = 33 + 0 -27 + -7x = 33 Add '27' to each side of the equation. -27 + 27 + -7x = 33 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 33 + 27 -7x = 33 + 27 Combine like terms: 33 + 27 = 60 -7x = 60 Divide each side by '-7'. x = -8.571428571 Simplifying x = -8.571428571
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