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Simplifying 4(x + 3) + 6x = 82 Reorder the terms: 4(3 + x) + 6x = 82 (3 * 4 + x * 4) + 6x = 82 (12 + 4x) + 6x = 82 Combine like terms: 4x + 6x = 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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