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Simplifying x + -2 = 47 + -6x Reorder the terms: -2 + x = 47 + -6x Solving -2 + x = 47 + -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. -2 + x + 6x = 47 + -6x + 6x Combine like terms: x + 6x = 7x -2 + 7x = 47 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 7x = 47 + 0 -2 + 7x = 47 Add '2' to each side of the equation. -2 + 2 + 7x = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 47 + 2 7x = 47 + 2 Combine like terms: 47 + 2 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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