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Simplifying 100(0.06x + 0.12y) = 100(240)(0.09) (0.06x * 100 + 0.12y * 100) = 100(240)(0.09) (6x + 12y) = 100(240)(0.09) Multiply 100 * 240 6x + 12y = 24000 * 0.09 Multiply 24000 * 0.09 6x + 12y = 2160 Solving 6x + 12y = 2160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 6x + 12y + -12y = 2160 + -12y Combine like terms: 12y + -12y = 0 6x + 0 = 2160 + -12y 6x = 2160 + -12y Divide each side by '6'. x = 360 + -2y Simplifying x = 360 + -2y
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