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Simplifying 0.65x + 0.05(10 + -1x) = 0.10(0.79) 0.65x + (10 * 0.05 + -1x * 0.05) = 0.10(0.79) 0.65x + (0.5 + -0.05x) = 0.10(0.79) Reorder the terms: 0.5 + 0.65x + -0.05x = 0.10(0.79) Combine like terms: 0.65x + -0.05x = 0.6x 0.5 + 0.6x = 0.10(0.79) Multiply 0.10 * 0.79 0.5 + 0.6x = 0.079 Solving 0.5 + 0.6x = 0.079 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.6x = 0.079 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.6x = 0.079 + -0.5 0.6x = 0.079 + -0.5 Combine like terms: 0.079 + -0.5 = -0.421 0.6x = -0.421 Divide each side by '0.6'. x = -0.7016666667 Simplifying x = -0.7016666667
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