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Simplifying 2.5x + -5 = 7.5x + 10 Reorder the terms: -5 + 2.5x = 7.5x + 10 Reorder the terms: -5 + 2.5x = 10 + 7.5x Solving -5 + 2.5x = 10 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -5 + 2.5x + -7.5x = 10 + 7.5x + -7.5x Combine like terms: 2.5x + -7.5x = -5x -5 + -5x = 10 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -5 + -5x = 10 + 0.0 -5 + -5x = 10 Add '5' to each side of the equation. -5 + 5 + -5x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 10 + 5 -5x = 10 + 5 Combine like terms: 10 + 5 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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