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Simplifying 7.5x + -5x + 24 = 0.5x + 84 Reorder the terms: 24 + 7.5x + -5x = 0.5x + 84 Combine like terms: 7.5x + -5x = 2.5x 24 + 2.5x = 0.5x + 84 Reorder the terms: 24 + 2.5x = 84 + 0.5x Solving 24 + 2.5x = 84 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 24 + 2.5x + -0.5x = 84 + 0.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x 24 + 2x = 84 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 24 + 2x = 84 + 0.0 24 + 2x = 84 Add '-24' to each side of the equation. 24 + -24 + 2x = 84 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 84 + -24 2x = 84 + -24 Combine like terms: 84 + -24 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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