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Simplifying 0.40x + 0.05(16 + -1x) = 0.10(-13) 0.40x + (16 * 0.05 + -1x * 0.05) = 0.10(-13) 0.40x + (0.8 + -0.05x) = 0.10(-13) Reorder the terms: 0.8 + 0.40x + -0.05x = 0.10(-13) Combine like terms: 0.40x + -0.05x = 0.35x 0.8 + 0.35x = 0.10(-13) Multiply 0.10 * -13 0.8 + 0.35x = -1.3 Solving 0.8 + 0.35x = -1.3 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 + 0.35x = -1.3 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.35x = -1.3 + -0.8 0.35x = -1.3 + -0.8 Combine like terms: -1.3 + -0.8 = -2.1 0.35x = -2.1 Divide each side by '0.35'. x = -6 Simplifying x = -6
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