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Simplifying -82 + -7x = 10x + 20 Reorder the terms: -82 + -7x = 20 + 10x Solving -82 + -7x = 20 + 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 + -7x + -10x = 20 + 10x + -10x Combine like terms: -7x + -10x = -17x -82 + -17x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -82 + -17x = 20 + 0 -82 + -17x = 20 Add '82' to each side of the equation. -82 + 82 + -17x = 20 + 82 Combine like terms: -82 + 82 = 0 0 + -17x = 20 + 82 -17x = 20 + 82 Combine like terms: 20 + 82 = 102 -17x = 102 Divide each side by '-17'. x = -6 Simplifying x = -6
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