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Simplifying 7.5x + -4.5 = 6 + -2.5x Reorder the terms: -4.5 + 7.5x = 6 + -2.5x Solving -4.5 + 7.5x = 6 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -4.5 + 7.5x + 2.5x = 6 + -2.5x + 2.5x Combine like terms: 7.5x + 2.5x = 10x -4.5 + 10x = 6 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -4.5 + 10x = 6 + 0.0 -4.5 + 10x = 6 Add '4.5' to each side of the equation. -4.5 + 4.5 + 10x = 6 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 10x = 6 + 4.5 10x = 6 + 4.5 Combine like terms: 6 + 4.5 = 10.5 10x = 10.5 Divide each side by '10'. x = 1.05 Simplifying x = 1.05
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