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Simplifying 7.5x + -4.1 = 6.7 + -4.5x Reorder the terms: -4.1 + 7.5x = 6.7 + -4.5x Solving -4.1 + 7.5x = 6.7 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. -4.1 + 7.5x + 4.5x = 6.7 + -4.5x + 4.5x Combine like terms: 7.5x + 4.5x = 12x -4.1 + 12x = 6.7 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 -4.1 + 12x = 6.7 + 0.0 -4.1 + 12x = 6.7 Add '4.1' to each side of the equation. -4.1 + 4.1 + 12x = 6.7 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 12x = 6.7 + 4.1 12x = 6.7 + 4.1 Combine like terms: 6.7 + 4.1 = 10.8 12x = 10.8 Divide each side by '12'. x = 0.9 Simplifying x = 0.9
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