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Simplifying 0.06 + 0.40(100 + -1x) = 50 0.06 + (100 * 0.40 + -1x * 0.40) = 50 0.06 + (40 + -0.4x) = 50 Combine like terms: 0.06 + 40 = 40.06 40.06 + -0.4x = 50 Solving 40.06 + -0.4x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40.06' to each side of the equation. 40.06 + -40.06 + -0.4x = 50 + -40.06 Combine like terms: 40.06 + -40.06 = 0.00 0.00 + -0.4x = 50 + -40.06 -0.4x = 50 + -40.06 Combine like terms: 50 + -40.06 = 9.94 -0.4x = 9.94 Divide each side by '-0.4'. x = -24.85 Simplifying x = -24.85
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