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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 = 5520 -816x = 5520 Divide each side by '-816'. x = -6.764705882 Simplifying x = -6.764705882
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