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Simplifying 6x + 2 + x = 1 + 5x + -1 Reorder the terms: 2 + 6x + x = 1 + 5x + -1 Combine like terms: 6x + x = 7x 2 + 7x = 1 + 5x + -1 Reorder the terms: 2 + 7x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 2 + 7x = 0 + 5x 2 + 7x = 5x Solving 2 + 7x = 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 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = 0 Add '-2' to each side of the equation. 2 + -2 + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0 + -2 2x = 0 + -2 Combine like terms: 0 + -2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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