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Simplifying 4.5x + -13.8 = 2.5x + 6.2 Reorder the terms: -13.8 + 4.5x = 2.5x + 6.2 Reorder the terms: -13.8 + 4.5x = 6.2 + 2.5x Solving -13.8 + 4.5x = 6.2 + 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. -13.8 + 4.5x + -2.5x = 6.2 + 2.5x + -2.5x Combine like terms: 4.5x + -2.5x = 2x -13.8 + 2x = 6.2 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -13.8 + 2x = 6.2 + 0.0 -13.8 + 2x = 6.2 Add '13.8' to each side of the equation. -13.8 + 13.8 + 2x = 6.2 + 13.8 Combine like terms: -13.8 + 13.8 = 0.0 0.0 + 2x = 6.2 + 13.8 2x = 6.2 + 13.8 Combine like terms: 6.2 + 13.8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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