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Simplifying 2.5x + -5.1 = 9.3 + -0.7x Reorder the terms: -5.1 + 2.5x = 9.3 + -0.7x Solving -5.1 + 2.5x = 9.3 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -5.1 + 2.5x + 0.7x = 9.3 + -0.7x + 0.7x Combine like terms: 2.5x + 0.7x = 3.2x -5.1 + 3.2x = 9.3 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -5.1 + 3.2x = 9.3 + 0.0 -5.1 + 3.2x = 9.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 3.2x = 9.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 3.2x = 9.3 + 5.1 3.2x = 9.3 + 5.1 Combine like terms: 9.3 + 5.1 = 14.4 3.2x = 14.4 Divide each side by '3.2'. x = 4.5 Simplifying x = 4.5
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