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Simplifying 0.06x + 0.03y + -75 = 0.02(x + y) Reorder the terms: -75 + 0.06x + 0.03y = 0.02(x + y) -75 + 0.06x + 0.03y = (x * 0.02 + y * 0.02) -75 + 0.06x + 0.03y = (0.02x + 0.02y) Solving -75 + 0.06x + 0.03y = 0.02x + 0.02y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -75 + 0.06x + -0.02x + 0.03y = 0.02x + -0.02x + 0.02y Combine like terms: 0.06x + -0.02x = 0.04x -75 + 0.04x + 0.03y = 0.02x + -0.02x + 0.02y Combine like terms: 0.02x + -0.02x = 0.00 -75 + 0.04x + 0.03y = 0.00 + 0.02y -75 + 0.04x + 0.03y = 0.02y Add '75' to each side of the equation. -75 + 0.04x + 75 + 0.03y = 75 + 0.02y Reorder the terms: -75 + 75 + 0.04x + 0.03y = 75 + 0.02y Combine like terms: -75 + 75 = 0 0 + 0.04x + 0.03y = 75 + 0.02y 0.04x + 0.03y = 75 + 0.02y Add '-0.03y' to each side of the equation. 0.04x + 0.03y + -0.03y = 75 + 0.02y + -0.03y Combine like terms: 0.03y + -0.03y = 0.00 0.04x + 0.00 = 75 + 0.02y + -0.03y 0.04x = 75 + 0.02y + -0.03y Combine like terms: 0.02y + -0.03y = -0.01y 0.04x = 75 + -0.01y Divide each side by '0.04'. x = 1875 + -0.25y Simplifying x = 1875 + -0.25y
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