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Simplifying 0.30x + 0.05(14 + -1x) = 0.10(52) 0.30x + (14 * 0.05 + -1x * 0.05) = 0.10(52) 0.30x + (0.7 + -0.05x) = 0.10(52) Reorder the terms: 0.7 + 0.30x + -0.05x = 0.10(52) Combine like terms: 0.30x + -0.05x = 0.25x 0.7 + 0.25x = 0.10(52) Multiply 0.10 * 52 0.7 + 0.25x = 5.2 Solving 0.7 + 0.25x = 5.2 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 + 0.25x = 5.2 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.25x = 5.2 + -0.7 0.25x = 5.2 + -0.7 Combine like terms: 5.2 + -0.7 = 4.5 0.25x = 4.5 Divide each side by '0.25'. x = 18 Simplifying x = 18
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