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Simplifying 12(-82 + 26) = 84(-2x + 62) Combine like terms: -82 + 26 = -56 12(-56) = 84(-2x + 62) Multiply 12 * -56 -672 = 84(-2x + 62) Reorder the terms: -672 = 84(62 + -2x) -672 = (62 * 84 + -2x * 84) -672 = (5208 + -168x) Solving -672 = 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. -672 + 168x = 5208 + -168x + 168x Combine like terms: -168x + 168x = 0 -672 + 168x = 5208 + 0 -672 + 168x = 5208 Add '672' to each side of the equation. -672 + 672 + 168x = 5208 + 672 Combine like terms: -672 + 672 = 0 0 + 168x = 5208 + 672 168x = 5208 + 672 Combine like terms: 5208 + 672 = 5880 168x = 5880 Divide each side by '168'. x = 35 Simplifying x = 35
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