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Simplifying x + -42 = -5x Reorder the terms: -42 + x = -5x Solving -42 + x = -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 = -5x + 5x Combine like terms: x + 5x = 6x -42 + 6x = -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 6x = 0 Add '42' to each side of the equation. -42 + 42 + 6x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 0 + 42 6x = 0 + 42 Combine like terms: 0 + 42 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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