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Simplifying -78 + -5x = -11x + 42 Reorder the terms: -78 + -5x = 42 + -11x Solving -78 + -5x = 42 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -78 + -5x + 11x = 42 + -11x + 11x Combine like terms: -5x + 11x = 6x -78 + 6x = 42 + -11x + 11x Combine like terms: -11x + 11x = 0 -78 + 6x = 42 + 0 -78 + 6x = 42 Add '78' to each side of the equation. -78 + 78 + 6x = 42 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = 42 + 78 6x = 42 + 78 Combine like terms: 42 + 78 = 120 6x = 120 Divide each side by '6'. x = 20 Simplifying x = 20
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