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Simplifying 0.60x + 0.05(4 + -1x) = 0.10(79) 0.60x + (4 * 0.05 + -1x * 0.05) = 0.10(79) 0.60x + (0.2 + -0.05x) = 0.10(79) Reorder the terms: 0.2 + 0.60x + -0.05x = 0.10(79) Combine like terms: 0.60x + -0.05x = 0.55x 0.2 + 0.55x = 0.10(79) Multiply 0.10 * 79 0.2 + 0.55x = 7.9 Solving 0.2 + 0.55x = 7.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.55x = 7.9 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.55x = 7.9 + -0.2 0.55x = 7.9 + -0.2 Combine like terms: 7.9 + -0.2 = 7.7 0.55x = 7.7 Divide each side by '0.55'. x = 14 Simplifying x = 14
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