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Simplifying 1.3 + 1.7x = 5.8 + 0.2x Solving 1.3 + 1.7x = 5.8 + 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. 1.3 + 1.7x + -0.2x = 5.8 + 0.2x + -0.2x Combine like terms: 1.7x + -0.2x = 1.5x 1.3 + 1.5x = 5.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.3 + 1.5x = 5.8 + 0.0 1.3 + 1.5x = 5.8 Add '-1.3' to each side of the equation. 1.3 + -1.3 + 1.5x = 5.8 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 1.5x = 5.8 + -1.3 1.5x = 5.8 + -1.3 Combine like terms: 5.8 + -1.3 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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