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Simplifying 0.05(100x) + 0.07(100y) = 640 Remove parenthesis around (100x) 0.05 * 100x + 0.07(100y) = 640 Multiply 0.05 * 100 5x + 0.07(100y) = 640 Remove parenthesis around (100y) 5x + 0.07 * 100y = 640 Multiply 0.07 * 100 5x + 7y = 640 Solving 5x + 7y = 640 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. 5x + 7y + -7y = 640 + -7y Combine like terms: 7y + -7y = 0 5x + 0 = 640 + -7y 5x = 640 + -7y Divide each side by '5'. x = 128 + -1.4y Simplifying x = 128 + -1.4y
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