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Simplifying 0.05x + 0.10(24 + -1x) = 0.75(24) 0.05x + (24 * 0.10 + -1x * 0.10) = 0.75(24) 0.05x + (2.4 + -0.1x) = 0.75(24) Reorder the terms: 2.4 + 0.05x + -0.1x = 0.75(24) Combine like terms: 0.05x + -0.1x = -0.05x 2.4 + -0.05x = 0.75(24) Multiply 0.75 * 24 2.4 + -0.05x = 18 Solving 2.4 + -0.05x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.05x = 18 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.05x = 18 + -2.4 -0.05x = 18 + -2.4 Combine like terms: 18 + -2.4 = 15.6 -0.05x = 15.6 Divide each side by '-0.05'. x = -312 Simplifying x = -312
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