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Simplifying 7x + 6 + x = 1 + 5x + -1 Reorder the terms: 6 + 7x + x = 1 + 5x + -1 Combine like terms: 7x + x = 8x 6 + 8x = 1 + 5x + -1 Reorder the terms: 6 + 8x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 6 + 8x = 0 + 5x 6 + 8x = 5x Solving 6 + 8x = 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. 6 + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 6 + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 6 + 3x = 0 Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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