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Simplifying x + -42 = 78 + 5x Reorder the terms: -42 + x = 78 + 5x Solving -42 + x = 78 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + x + -5x = 78 + 5x + -5x Combine like terms: x + -5x = -4x -42 + -4x = 78 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -4x = 78 + 0 -42 + -4x = 78 Add '42' to each side of the equation. -42 + 42 + -4x = 78 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 78 + 42 -4x = 78 + 42 Combine like terms: 78 + 42 = 120 -4x = 120 Divide each side by '-4'. x = -30 Simplifying x = -30
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