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Simplifying 0.45x + 0.05(14 + -1x) = 0.10(79) 0.45x + (14 * 0.05 + -1x * 0.05) = 0.10(79) 0.45x + (0.7 + -0.05x) = 0.10(79) Reorder the terms: 0.7 + 0.45x + -0.05x = 0.10(79) Combine like terms: 0.45x + -0.05x = 0.4x 0.7 + 0.4x = 0.10(79) Multiply 0.10 * 79 0.7 + 0.4x = 7.9 Solving 0.7 + 0.4x = 7.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.4x = 7.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.4x = 7.9 + -0.7 0.4x = 7.9 + -0.7 Combine like terms: 7.9 + -0.7 = 7.2 0.4x = 7.2 Divide each side by '0.4'. x = 18 Simplifying x = 18
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