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Simplifying 0.45x + 0.5(14 + -1x) = 0.10(39) 0.45x + (14 * 0.5 + -1x * 0.5) = 0.10(39) 0.45x + (7 + -0.5x) = 0.10(39) Reorder the terms: 7 + 0.45x + -0.5x = 0.10(39) Combine like terms: 0.45x + -0.5x = -0.05x 7 + -0.05x = 0.10(39) Multiply 0.10 * 39 7 + -0.05x = 3.9 Solving 7 + -0.05x = 3.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -0.05x = 3.9 + -7 Combine like terms: 7 + -7 = 0 0 + -0.05x = 3.9 + -7 -0.05x = 3.9 + -7 Combine like terms: 3.9 + -7 = -3.1 -0.05x = -3.1 Divide each side by '-0.05'. x = 62 Simplifying x = 62
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