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Simplifying 8x + -12.78 = 7x + 12.22 Reorder the terms: -12.78 + 8x = 7x + 12.22 Reorder the terms: -12.78 + 8x = 12.22 + 7x Solving -12.78 + 8x = 12.22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12.78 + 8x + -7x = 12.22 + 7x + -7x Combine like terms: 8x + -7x = 1x -12.78 + 1x = 12.22 + 7x + -7x Combine like terms: 7x + -7x = 0 -12.78 + 1x = 12.22 + 0 -12.78 + 1x = 12.22 Add '12.78' to each side of the equation. -12.78 + 12.78 + 1x = 12.22 + 12.78 Combine like terms: -12.78 + 12.78 = 0.00 0.00 + 1x = 12.22 + 12.78 1x = 12.22 + 12.78 Combine like terms: 12.22 + 12.78 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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