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Simplifying 6x + 2 + x = 1 + 5x + -7 Reorder the terms: 2 + 6x + x = 1 + 5x + -7 Combine like terms: 6x + x = 7x 2 + 7x = 1 + 5x + -7 Reorder the terms: 2 + 7x = 1 + -7 + 5x Combine like terms: 1 + -7 = -6 2 + 7x = -6 + 5x Solving 2 + 7x = -6 + 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 = -6 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = -6 + 0 2 + 2x = -6 Add '-2' to each side of the equation. 2 + -2 + 2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -6 + -2 2x = -6 + -2 Combine like terms: -6 + -2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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