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Simplifying 12 + -1(82x + 23) = 84(-2x + 62) Reorder the terms: 12 + -1(23 + 82x) = 84(-2x + 62) 12 + (23 * -1 + 82x * -1) = 84(-2x + 62) 12 + (-23 + -82x) = 84(-2x + 62) Combine like terms: 12 + -23 = -11 -11 + -82x = 84(-2x + 62) Reorder the terms: -11 + -82x = 84(62 + -2x) -11 + -82x = (62 * 84 + -2x * 84) -11 + -82x = (5208 + -168x) Solving -11 + -82x = 5208 + -168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '168x' to each side of the equation. -11 + -82x + 168x = 5208 + -168x + 168x Combine like terms: -82x + 168x = 86x -11 + 86x = 5208 + -168x + 168x Combine like terms: -168x + 168x = 0 -11 + 86x = 5208 + 0 -11 + 86x = 5208 Add '11' to each side of the equation. -11 + 11 + 86x = 5208 + 11 Combine like terms: -11 + 11 = 0 0 + 86x = 5208 + 11 86x = 5208 + 11 Combine like terms: 5208 + 11 = 5219 86x = 5219 Divide each side by '86'. x = 60.68604651 Simplifying x = 60.68604651
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