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Simplifying 7x + 280 = 8x + 278 Reorder the terms: 280 + 7x = 8x + 278 Reorder the terms: 280 + 7x = 278 + 8x Solving 280 + 7x = 278 + 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. 280 + 7x + -8x = 278 + 8x + -8x Combine like terms: 7x + -8x = -1x 280 + -1x = 278 + 8x + -8x Combine like terms: 8x + -8x = 0 280 + -1x = 278 + 0 280 + -1x = 278 Add '-280' to each side of the equation. 280 + -280 + -1x = 278 + -280 Combine like terms: 280 + -280 = 0 0 + -1x = 278 + -280 -1x = 278 + -280 Combine like terms: 278 + -280 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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