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Simplifying 82 = 4(x + 8) + 6x Reorder the terms: 82 = 4(8 + x) + 6x 82 = (8 * 4 + x * 4) + 6x 82 = (32 + 4x) + 6x Combine like terms: 4x + 6x = 10x 82 = 32 + 10x Solving 82 = 32 + 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 + -10x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -10x = 32 + 0 82 + -10x = 32 Add '-82' to each side of the equation. 82 + -82 + -10x = 32 + -82 Combine like terms: 82 + -82 = 0 0 + -10x = 32 + -82 -10x = 32 + -82 Combine like terms: 32 + -82 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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