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Simplifying 0.40x + 0.05(4 + -1x) = 0.10(-61) 0.40x + (4 * 0.05 + -1x * 0.05) = 0.10(-61) 0.40x + (0.2 + -0.05x) = 0.10(-61) Reorder the terms: 0.2 + 0.40x + -0.05x = 0.10(-61) Combine like terms: 0.40x + -0.05x = 0.35x 0.2 + 0.35x = 0.10(-61) Multiply 0.10 * -61 0.2 + 0.35x = -6.1 Solving 0.2 + 0.35x = -6.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.35x = -6.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.35x = -6.1 + -0.2 0.35x = -6.1 + -0.2 Combine like terms: -6.1 + -0.2 = -6.3 0.35x = -6.3 Divide each side by '0.35'. x = -18 Simplifying x = -18
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