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Simplifying -78 + 2x = 92 + -8x Solving -78 + 2x = 92 + -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. -78 + 2x + 8x = 92 + -8x + 8x Combine like terms: 2x + 8x = 10x -78 + 10x = 92 + -8x + 8x Combine like terms: -8x + 8x = 0 -78 + 10x = 92 + 0 -78 + 10x = 92 Add '78' to each side of the equation. -78 + 78 + 10x = 92 + 78 Combine like terms: -78 + 78 = 0 0 + 10x = 92 + 78 10x = 92 + 78 Combine like terms: 92 + 78 = 170 10x = 170 Divide each side by '10'. x = 17 Simplifying x = 17
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