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Simplifying 3.0 * 0.1 + 1.3 * 0.3 + x * 0.6 = 1.3 Multiply 3.0 * 0.1 0.3 + 1.3 * 0.3 + x * 0.6 = 1.3 Multiply 1.3 * 0.3 0.3 + 0.39 + x * 0.6 = 1.3 Reorder the terms for easier multiplication: 0.3 + 0.39 + 0.6x = 1.3 Combine like terms: 0.3 + 0.39 = 0.69 0.69 + 0.6x = 1.3 Solving 0.69 + 0.6x = 1.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.69' to each side of the equation. 0.69 + -0.69 + 0.6x = 1.3 + -0.69 Combine like terms: 0.69 + -0.69 = 0.00 0.00 + 0.6x = 1.3 + -0.69 0.6x = 1.3 + -0.69 Combine like terms: 1.3 + -0.69 = 0.61 0.6x = 0.61 Divide each side by '0.6'. x = 1.016666667 Simplifying x = 1.016666667
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