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Simplifying 4.5x + -10 = 2.5x + 15 Reorder the terms: -10 + 4.5x = 2.5x + 15 Reorder the terms: -10 + 4.5x = 15 + 2.5x Solving -10 + 4.5x = 15 + 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. -10 + 4.5x + -2.5x = 15 + 2.5x + -2.5x Combine like terms: 4.5x + -2.5x = 2x -10 + 2x = 15 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -10 + 2x = 15 + 0.0 -10 + 2x = 15 Add '10' to each side of the equation. -10 + 10 + 2x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 15 + 10 2x = 15 + 10 Combine like terms: 15 + 10 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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