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Simplifying 1.2x + 2.3 = 0.5x + 7.4 Reorder the terms: 2.3 + 1.2x = 0.5x + 7.4 Reorder the terms: 2.3 + 1.2x = 7.4 + 0.5x Solving 2.3 + 1.2x = 7.4 + 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. 2.3 + 1.2x + -0.5x = 7.4 + 0.5x + -0.5x Combine like terms: 1.2x + -0.5x = 0.7x 2.3 + 0.7x = 7.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.3 + 0.7x = 7.4 + 0.0 2.3 + 0.7x = 7.4 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 0.7x = 7.4 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 0.7x = 7.4 + -2.3 0.7x = 7.4 + -2.3 Combine like terms: 7.4 + -2.3 = 5.1 0.7x = 5.1 Divide each side by '0.7'. x = 7.285714286 Simplifying x = 7.285714286
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