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Simplifying 100(0.06x + 0.07y) = 100(280)(0.12) (0.06x * 100 + 0.07y * 100) = 100(280)(0.12) (6x + 7y) = 100(280)(0.12) Multiply 100 * 280 6x + 7y = 28000 * 0.12 Multiply 28000 * 0.12 6x + 7y = 3360 Solving 6x + 7y = 3360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 6x + 7y + -7y = 3360 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = 3360 + -7y 6x = 3360 + -7y Divide each side by '6'. x = 560 + -1.166666667y Simplifying x = 560 + -1.166666667y
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