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Simplifying 7x + 1 + -6x = -5 + -6 Reorder the terms: 1 + 7x + -6x = -5 + -6 Combine like terms: 7x + -6x = 1x 1 + 1x = -5 + -6 Combine like terms: -5 + -6 = -11 1 + 1x = -11 Solving 1 + 1x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -11 + -1 1x = -11 + -1 Combine like terms: -11 + -1 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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