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Simplifying 0.02x + 0.03(7500 + -1X) = 180 0.02x + (7500 * 0.03 + -1X * 0.03) = 180 0.02x + (225 + -0.03X) = 180 Reorder the terms: 225 + -0.03X + 0.02x = 180 Solving 225 + -0.03X + 0.02x = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -0.03X + -225 + 0.02x = 180 + -225 Reorder the terms: 225 + -225 + -0.03X + 0.02x = 180 + -225 Combine like terms: 225 + -225 = 0 0 + -0.03X + 0.02x = 180 + -225 -0.03X + 0.02x = 180 + -225 Combine like terms: 180 + -225 = -45 -0.03X + 0.02x = -45 Add '-0.02x' to each side of the equation. -0.03X + 0.02x + -0.02x = -45 + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.03X + 0.00 = -45 + -0.02x -0.03X = -45 + -0.02x Divide each side by '-0.03'. X = 1500 + 0.6666666667x Simplifying X = 1500 + 0.6666666667x
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