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Simplifying x + -42 = 42 + -6x Reorder the terms: -42 + x = 42 + -6x Solving -42 + x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -42 + x + 6x = 42 + -6x + 6x Combine like terms: x + 6x = 7x -42 + 7x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 7x = 42 + 0 -42 + 7x = 42 Add '42' to each side of the equation. -42 + 42 + 7x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 42 + 42 7x = 42 + 42 Combine like terms: 42 + 42 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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