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Simplifying 0.8x + 0.3 = 1.3 + 0.2x Reorder the terms: 0.3 + 0.8x = 1.3 + 0.2x Solving 0.3 + 0.8x = 1.3 + 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. 0.3 + 0.8x + -0.2x = 1.3 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x 0.3 + 0.6x = 1.3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.3 + 0.6x = 1.3 + 0.0 0.3 + 0.6x = 1.3 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.6x = 1.3 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6x = 1.3 + -0.3 0.6x = 1.3 + -0.3 Combine like terms: 1.3 + -0.3 = 1 0.6x = 1 Divide each side by '0.6'. x = 1.666666667 Simplifying x = 1.666666667
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