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Simplifying -6x + -2.25 + 7x = 12.75 + -2.25 Reorder the terms: -2.25 + -6x + 7x = 12.75 + -2.25 Combine like terms: -6x + 7x = 1x -2.25 + 1x = 12.75 + -2.25 Combine like terms: 12.75 + -2.25 = 10.5 -2.25 + 1x = 10.5 Solving -2.25 + 1x = 10.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + 1x = 10.5 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + 1x = 10.5 + 2.25 1x = 10.5 + 2.25 Combine like terms: 10.5 + 2.25 = 12.75 1x = 12.75 Divide each side by '1'. x = 12.75 Simplifying x = 12.75
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