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Simplifying 0.40x + 0.05(8 + -1x) = 0.10(-52) 0.40x + (8 * 0.05 + -1x * 0.05) = 0.10(-52) 0.40x + (0.4 + -0.05x) = 0.10(-52) Reorder the terms: 0.4 + 0.40x + -0.05x = 0.10(-52) Combine like terms: 0.40x + -0.05x = 0.35x 0.4 + 0.35x = 0.10(-52) Multiply 0.10 * -52 0.4 + 0.35x = -5.2 Solving 0.4 + 0.35x = -5.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.35x = -5.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.35x = -5.2 + -0.4 0.35x = -5.2 + -0.4 Combine like terms: -5.2 + -0.4 = -5.6 0.35x = -5.6 Divide each side by '0.35'. x = -16 Simplifying x = -16
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