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Simplifying 12(-82x + 26) = 84(-2 + 62) Reorder the terms: 12(26 + -82x) = 84(-2 + 62) (26 * 12 + -82x * 12) = 84(-2 + 62) (312 + -984x) = 84(-2 + 62) Combine like terms: -2 + 62 = 60 312 + -984x = 84(60) Multiply 84 * 60 312 + -984x = 5040 Solving 312 + -984x = 5040 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-312' to each side of the equation. 312 + -312 + -984x = 5040 + -312 Combine like terms: 312 + -312 = 0 0 + -984x = 5040 + -312 -984x = 5040 + -312 Combine like terms: 5040 + -312 = 4728 -984x = 4728 Divide each side by '-984'. x = -4.804878049 Simplifying x = -4.804878049
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