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Simplifying 1.3x + 2.4 = 5.4 + -0.2x Reorder the terms: 2.4 + 1.3x = 5.4 + -0.2x Solving 2.4 + 1.3x = 5.4 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 2.4 + 1.3x + 0.2x = 5.4 + -0.2x + 0.2x Combine like terms: 1.3x + 0.2x = 1.5x 2.4 + 1.5x = 5.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 2.4 + 1.5x = 5.4 + 0.0 2.4 + 1.5x = 5.4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.5x = 5.4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.5x = 5.4 + -2.4 1.5x = 5.4 + -2.4 Combine like terms: 5.4 + -2.4 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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