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Simplifying -0.60x + -0.50(50 + x) = 0.42(50) -0.60x + (50 * -0.50 + x * -0.50) = 0.42(50) -0.60x + (-25 + -0.50x) = 0.42(50) Reorder the terms: -25 + -0.60x + -0.50x = 0.42(50) Combine like terms: -0.60x + -0.50x = -1.1x -25 + -1.1x = 0.42(50) Multiply 0.42 * 50 -25 + -1.1x = 21 Solving -25 + -1.1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1.1x = 21 + 25 Combine like terms: -25 + 25 = 0 0 + -1.1x = 21 + 25 -1.1x = 21 + 25 Combine like terms: 21 + 25 = 46 -1.1x = 46 Divide each side by '-1.1'. x = -41.81818182 Simplifying x = -41.81818182
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