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Simplifying 82 + -3x = 12 + -10x Solving 82 + -3x = 12 + -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 + -3x + 10x = 12 + -10x + 10x Combine like terms: -3x + 10x = 7x 82 + 7x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 82 + 7x = 12 + 0 82 + 7x = 12 Add '-82' to each side of the equation. 82 + -82 + 7x = 12 + -82 Combine like terms: 82 + -82 = 0 0 + 7x = 12 + -82 7x = 12 + -82 Combine like terms: 12 + -82 = -70 7x = -70 Divide each side by '7'. x = -10 Simplifying x = -10
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