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