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Simplifying 520 + 350x + 120 = 1000 + 8x + 1008 Reorder the terms: 520 + 120 + 350x = 1000 + 8x + 1008 Combine like terms: 520 + 120 = 640 640 + 350x = 1000 + 8x + 1008 Reorder the terms: 640 + 350x = 1000 + 1008 + 8x Combine like terms: 1000 + 1008 = 2008 640 + 350x = 2008 + 8x Solving 640 + 350x = 2008 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 640 + 350x + -8x = 2008 + 8x + -8x Combine like terms: 350x + -8x = 342x 640 + 342x = 2008 + 8x + -8x Combine like terms: 8x + -8x = 0 640 + 342x = 2008 + 0 640 + 342x = 2008 Add '-640' to each side of the equation. 640 + -640 + 342x = 2008 + -640 Combine like terms: 640 + -640 = 0 0 + 342x = 2008 + -640 342x = 2008 + -640 Combine like terms: 2008 + -640 = 1368 342x = 1368 Divide each side by '342'. x = 4 Simplifying x = 4
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