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Simplifying 3x + 10 = 82 + -6x Reorder the terms: 10 + 3x = 82 + -6x Solving 10 + 3x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 3x + 6x = 82 + -6x + 6x Combine like terms: 3x + 6x = 9x 10 + 9x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 9x = 82 + 0 10 + 9x = 82 Add '-10' to each side of the equation. 10 + -10 + 9x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 82 + -10 9x = 82 + -10 Combine like terms: 82 + -10 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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