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Simplifying 0.45x + 0.5(4 + -1x) = 0.10(42) 0.45x + (4 * 0.5 + -1x * 0.5) = 0.10(42) 0.45x + (2 + -0.5x) = 0.10(42) Reorder the terms: 2 + 0.45x + -0.5x = 0.10(42) Combine like terms: 0.45x + -0.5x = -0.05x 2 + -0.05x = 0.10(42) Multiply 0.10 * 42 2 + -0.05x = 4.2 Solving 2 + -0.05x = 4.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.05x = 4.2 + -2 Combine like terms: 2 + -2 = 0 0 + -0.05x = 4.2 + -2 -0.05x = 4.2 + -2 Combine like terms: 4.2 + -2 = 2.2 -0.05x = 2.2 Divide each side by '-0.05'. x = -44 Simplifying x = -44
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