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Simplifying -6x + 2 = x + -82 Reorder the terms: 2 + -6x = x + -82 Reorder the terms: 2 + -6x = -82 + x Solving 2 + -6x = -82 + x 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. 2 + -6x + -1x = -82 + x + -1x Combine like terms: -6x + -1x = -7x 2 + -7x = -82 + x + -1x Combine like terms: x + -1x = 0 2 + -7x = -82 + 0 2 + -7x = -82 Add '-2' to each side of the equation. 2 + -2 + -7x = -82 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -82 + -2 -7x = -82 + -2 Combine like terms: -82 + -2 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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