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