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Simplifying 0.5x + 1.2 = 0.3x + 2.4 Reorder the terms: 1.2 + 0.5x = 0.3x + 2.4 Reorder the terms: 1.2 + 0.5x = 2.4 + 0.3x Solving 1.2 + 0.5x = 2.4 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1.2 + 0.5x + -0.3x = 2.4 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 1.2 + 0.2x = 2.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.2 + 0.2x = 2.4 + 0.0 1.2 + 0.2x = 2.4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.2x = 2.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.2x = 2.4 + -1.2 0.2x = 2.4 + -1.2 Combine like terms: 2.4 + -1.2 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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