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Simplifying 6x + -6 = 42 + -6x Reorder the terms: -6 + 6x = 42 + -6x Solving -6 + 6x = 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. -6 + 6x + 6x = 42 + -6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 12x = 42 + 0 -6 + 12x = 42 Add '6' to each side of the equation. -6 + 6 + 12x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 42 + 6 12x = 42 + 6 Combine like terms: 42 + 6 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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