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Simplifying 6x + -2 = 42 + -5x Reorder the terms: -2 + 6x = 42 + -5x Solving -2 + 6x = 42 + -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. -2 + 6x + 5x = 42 + -5x + 5x Combine like terms: 6x + 5x = 11x -2 + 11x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 11x = 42 + 0 -2 + 11x = 42 Add '2' to each side of the equation. -2 + 2 + 11x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 42 + 2 11x = 42 + 2 Combine like terms: 42 + 2 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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