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Simplifying 7x + 3(x + 4) = 82 Reorder the terms: 7x + 3(4 + x) = 82 7x + (4 * 3 + x * 3) = 82 7x + (12 + 3x) = 82 Reorder the terms: 12 + 7x + 3x = 82 Combine like terms: 7x + 3x = 10x 12 + 10x = 82 Solving 12 + 10x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 82 + -12 10x = 82 + -12 Combine like terms: 82 + -12 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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