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Simplifying 0.05x + 0.2(24 + -1x) = 0.1(24) 0.05x + (24 * 0.2 + -1x * 0.2) = 0.1(24) 0.05x + (4.8 + -0.2x) = 0.1(24) Reorder the terms: 4.8 + 0.05x + -0.2x = 0.1(24) Combine like terms: 0.05x + -0.2x = -0.15x 4.8 + -0.15x = 0.1(24) Multiply 0.1 * 24 4.8 + -0.15x = 2.4 Solving 4.8 + -0.15x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.15x = 2.4 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.15x = 2.4 + -4.8 -0.15x = 2.4 + -4.8 Combine like terms: 2.4 + -4.8 = -2.4 -0.15x = -2.4 Divide each side by '-0.15'. x = 16 Simplifying x = 16
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