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Simplifying 34x + -27 + 8x = 50x + -87 + -2x Reorder the terms: -27 + 34x + 8x = 50x + -87 + -2x Combine like terms: 34x + 8x = 42x -27 + 42x = 50x + -87 + -2x Reorder the terms: -27 + 42x = -87 + 50x + -2x Combine like terms: 50x + -2x = 48x -27 + 42x = -87 + 48x Solving -27 + 42x = -87 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -27 + 42x + -48x = -87 + 48x + -48x Combine like terms: 42x + -48x = -6x -27 + -6x = -87 + 48x + -48x Combine like terms: 48x + -48x = 0 -27 + -6x = -87 + 0 -27 + -6x = -87 Add '27' to each side of the equation. -27 + 27 + -6x = -87 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = -87 + 27 -6x = -87 + 27 Combine like terms: -87 + 27 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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