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Simplifying 0.2x + 24 = 0.5x + 2.4 Reorder the terms: 24 + 0.2x = 0.5x + 2.4 Reorder the terms: 24 + 0.2x = 2.4 + 0.5x Solving 24 + 0.2x = 2.4 + 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 + 0.2x + -0.5x = 2.4 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 24 + -0.3x = 2.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 24 + -0.3x = 2.4 + 0.0 24 + -0.3x = 2.4 Add '-24' to each side of the equation. 24 + -24 + -0.3x = 2.4 + -24 Combine like terms: 24 + -24 = 0 0 + -0.3x = 2.4 + -24 -0.3x = 2.4 + -24 Combine like terms: 2.4 + -24 = -21.6 -0.3x = -21.6 Divide each side by '-0.3'. x = 72 Simplifying x = 72
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