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Simplifying 2(4x + 7) + -1(x + 5) = 82 Reorder the terms: 2(7 + 4x) + -1(x + 5) = 82 (7 * 2 + 4x * 2) + -1(x + 5) = 82 (14 + 8x) + -1(x + 5) = 82 Reorder the terms: 14 + 8x + -1(5 + x) = 82 14 + 8x + (5 * -1 + x * -1) = 82 14 + 8x + (-5 + -1x) = 82 Reorder the terms: 14 + -5 + 8x + -1x = 82 Combine like terms: 14 + -5 = 9 9 + 8x + -1x = 82 Combine like terms: 8x + -1x = 7x 9 + 7x = 82 Solving 9 + 7x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 82 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 82 + -9 7x = 82 + -9 Combine like terms: 82 + -9 = 73 7x = 73 Divide each side by '7'. x = 10.42857143 Simplifying x = 10.42857143
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