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Simplifying 82 + -5x = 10x + 22 Reorder the terms: 82 + -5x = 22 + 10x Solving 82 + -5x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + -5x + -10x = 22 + 10x + -10x Combine like terms: -5x + -10x = -15x 82 + -15x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -15x = 22 + 0 82 + -15x = 22 Add '-82' to each side of the equation. 82 + -82 + -15x = 22 + -82 Combine like terms: 82 + -82 = 0 0 + -15x = 22 + -82 -15x = 22 + -82 Combine like terms: 22 + -82 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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