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Simplifying 82 + -2x = 5x + -15 Reorder the terms: 82 + -2x = -15 + 5x Solving 82 + -2x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 82 + -2x + -5x = -15 + 5x + -5x Combine like terms: -2x + -5x = -7x 82 + -7x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 82 + -7x = -15 + 0 82 + -7x = -15 Add '-82' to each side of the equation. 82 + -82 + -7x = -15 + -82 Combine like terms: 82 + -82 = 0 0 + -7x = -15 + -82 -7x = -15 + -82 Combine like terms: -15 + -82 = -97 -7x = -97 Divide each side by '-7'. x = 13.85714286 Simplifying x = 13.85714286
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