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Simplifying -78 + 4x = 42 + -8x Solving -78 + 4x = 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. -78 + 4x + 8x = 42 + -8x + 8x Combine like terms: 4x + 8x = 12x -78 + 12x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 -78 + 12x = 42 + 0 -78 + 12x = 42 Add '78' to each side of the equation. -78 + 78 + 12x = 42 + 78 Combine like terms: -78 + 78 = 0 0 + 12x = 42 + 78 12x = 42 + 78 Combine like terms: 42 + 78 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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