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Simplifying 12(-82x + 26) = 84(-2x + 62) Reorder the terms: 12(26 + -82x) = 84(-2x + 62) (26 * 12 + -82x * 12) = 84(-2x + 62) (312 + -984x) = 84(-2x + 62) Reorder the terms: 312 + -984x = 84(62 + -2x) 312 + -984x = (62 * 84 + -2x * 84) 312 + -984x = (5208 + -168x) Solving 312 + -984x = 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. 312 + -984x + 168x = 5208 + -168x + 168x Combine like terms: -984x + 168x = -816x 312 + -816x = 5208 + -168x + 168x Combine like terms: -168x + 168x = 0 312 + -816x = 5208 + 0 312 + -816x = 5208 Add '-312' to each side of the equation. 312 + -312 + -816x = 5208 + -312 Combine like terms: 312 + -312 = 0 0 + -816x = 5208 + -312 -816x = 5208 + -312 Combine like terms: 5208 + -312 = 4896 -816x = 4896 Divide each side by '-816'. x = -6 Simplifying x = -6
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