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Simplifying 100(0.12x + -0.06y) = 100(240)(0.08) (0.12x * 100 + -0.06y * 100) = 100(240)(0.08) (12x + -6y) = 100(240)(0.08) Multiply 100 * 240 12x + -6y = 24000 * 0.08 Multiply 24000 * 0.08 12x + -6y = 1920 Solving 12x + -6y = 1920 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 12x + -6y + 6y = 1920 + 6y Combine like terms: -6y + 6y = 0 12x + 0 = 1920 + 6y 12x = 1920 + 6y Divide each side by '12'. x = 160 + 0.5y Simplifying x = 160 + 0.5y
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