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Simplifying 7.5x + -30 = 2.5x + 20 Reorder the terms: -30 + 7.5x = 2.5x + 20 Reorder the terms: -30 + 7.5x = 20 + 2.5x Solving -30 + 7.5x = 20 + 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. -30 + 7.5x + -2.5x = 20 + 2.5x + -2.5x Combine like terms: 7.5x + -2.5x = 5x -30 + 5x = 20 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -30 + 5x = 20 + 0.0 -30 + 5x = 20 Add '30' to each side of the equation. -30 + 30 + 5x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 20 + 30 5x = 20 + 30 Combine like terms: 20 + 30 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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