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Simplifying 4.5x + -2 = 2.5x + 8 Reorder the terms: -2 + 4.5x = 2.5x + 8 Reorder the terms: -2 + 4.5x = 8 + 2.5x Solving -2 + 4.5x = 8 + 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. -2 + 4.5x + -2.5x = 8 + 2.5x + -2.5x Combine like terms: 4.5x + -2.5x = 2x -2 + 2x = 8 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -2 + 2x = 8 + 0.0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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