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Simplifying 65 = 0.5(x) * 0.02 + 0.5(y) * 0.03 Reorder the terms for easier multiplication: 65 = 0.5 * 0.02x + 0.5(y) * 0.03 Multiply 0.5 * 0.02 65 = 0.01x + 0.5(y) * 0.03 Reorder the terms for easier multiplication: 65 = 0.01x + 0.5 * 0.03y Multiply 0.5 * 0.03 65 = 0.01x + 0.015y Solving 65 = 0.01x + 0.015y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 65 + -0.01x = 0.01x + -0.01x + 0.015y Combine like terms: 0.01x + -0.01x = 0.00 65 + -0.01x = 0.00 + 0.015y 65 + -0.01x = 0.015y Add '-65' to each side of the equation. 65 + -65 + -0.01x = -65 + 0.015y Combine like terms: 65 + -65 = 0 0 + -0.01x = -65 + 0.015y -0.01x = -65 + 0.015y Divide each side by '-0.01'. x = 6500 + -1.5y Simplifying x = 6500 + -1.5y
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