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Simplifying 0.06x + 0.40(100 + -1x) = 50 0.06x + (100 * 0.40 + -1x * 0.40) = 50 0.06x + (40 + -0.4x) = 50 Reorder the terms: 40 + 0.06x + -0.4x = 50 Combine like terms: 0.06x + -0.4x = -0.34x 40 + -0.34x = 50 Solving 40 + -0.34x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -0.34x = 50 + -40 Combine like terms: 40 + -40 = 0 0 + -0.34x = 50 + -40 -0.34x = 50 + -40 Combine like terms: 50 + -40 = 10 -0.34x = 10 Divide each side by '-0.34'. x = -29.41176471 Simplifying x = -29.41176471
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