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Simplifying 0.45x + 0.05(16 + -1x) = 0.10(-24) 0.45x + (16 * 0.05 + -1x * 0.05) = 0.10(-24) 0.45x + (0.8 + -0.05x) = 0.10(-24) Reorder the terms: 0.8 + 0.45x + -0.05x = 0.10(-24) Combine like terms: 0.45x + -0.05x = 0.4x 0.8 + 0.4x = 0.10(-24) Multiply 0.10 * -24 0.8 + 0.4x = -2.4 Solving 0.8 + 0.4x = -2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.4x = -2.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4x = -2.4 + -0.8 0.4x = -2.4 + -0.8 Combine like terms: -2.4 + -0.8 = -3.2 0.4x = -3.2 Divide each side by '0.4'. x = -8 Simplifying x = -8
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