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Simplifying 0.40x + 0.05(6 + -1x) = 0.10(-11) 0.40x + (6 * 0.05 + -1x * 0.05) = 0.10(-11) 0.40x + (0.3 + -0.05x) = 0.10(-11) Reorder the terms: 0.3 + 0.40x + -0.05x = 0.10(-11) Combine like terms: 0.40x + -0.05x = 0.35x 0.3 + 0.35x = 0.10(-11) Multiply 0.10 * -11 0.3 + 0.35x = -1.1 Solving 0.3 + 0.35x = -1.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.35x = -1.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.35x = -1.1 + -0.3 0.35x = -1.1 + -0.3 Combine like terms: -1.1 + -0.3 = -1.4 0.35x = -1.4 Divide each side by '0.35'. x = -4 Simplifying x = -4
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