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Simplifying 5 + 2x = 24 + -0.5x Solving 5 + 2x = 24 + -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. 5 + 2x + 0.5x = 24 + -0.5x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 5 + 2.5x = 24 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5 + 2.5x = 24 + 0.0 5 + 2.5x = 24 Add '-5' to each side of the equation. 5 + -5 + 2.5x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5x = 24 + -5 2.5x = 24 + -5 Combine like terms: 24 + -5 = 19 2.5x = 19 Divide each side by '2.5'. x = 7.6 Simplifying x = 7.6
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