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Simplifying -1x + -6 = 6x + -83 Reorder the terms: -6 + -1x = 6x + -83 Reorder the terms: -6 + -1x = -83 + 6x Solving -6 + -1x = -83 + 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 + -1x + -6x = -83 + 6x + -6x Combine like terms: -1x + -6x = -7x -6 + -7x = -83 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -7x = -83 + 0 -6 + -7x = -83 Add '6' to each side of the equation. -6 + 6 + -7x = -83 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -83 + 6 -7x = -83 + 6 Combine like terms: -83 + 6 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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