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Simplifying -2x + -108 = 8x + 42 Reorder the terms: -108 + -2x = 8x + 42 Reorder the terms: -108 + -2x = 42 + 8x Solving -108 + -2x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -108 + -2x + -8x = 42 + 8x + -8x Combine like terms: -2x + -8x = -10x -108 + -10x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -108 + -10x = 42 + 0 -108 + -10x = 42 Add '108' to each side of the equation. -108 + 108 + -10x = 42 + 108 Combine like terms: -108 + 108 = 0 0 + -10x = 42 + 108 -10x = 42 + 108 Combine like terms: 42 + 108 = 150 -10x = 150 Divide each side by '-10'. x = -15 Simplifying x = -15
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