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Simplifying -5x + 82 = x + 4 Reorder the terms: 82 + -5x = x + 4 Reorder the terms: 82 + -5x = 4 + x Solving 82 + -5x = 4 + 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. 82 + -5x + -1x = 4 + x + -1x Combine like terms: -5x + -1x = -6x 82 + -6x = 4 + x + -1x Combine like terms: x + -1x = 0 82 + -6x = 4 + 0 82 + -6x = 4 Add '-82' to each side of the equation. 82 + -82 + -6x = 4 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 4 + -82 -6x = 4 + -82 Combine like terms: 4 + -82 = -78 -6x = -78 Divide each side by '-6'. x = 13 Simplifying x = 13
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