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Simplifying 0.12x + 0.09(y + 3000) = 2160 Reorder the terms: 0.12x + 0.09(3000 + y) = 2160 0.12x + (3000 * 0.09 + y * 0.09) = 2160 0.12x + (270 + 0.09y) = 2160 Reorder the terms: 270 + 0.12x + 0.09y = 2160 Solving 270 + 0.12x + 0.09y = 2160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + 0.12x + -270 + 0.09y = 2160 + -270 Reorder the terms: 270 + -270 + 0.12x + 0.09y = 2160 + -270 Combine like terms: 270 + -270 = 0 0 + 0.12x + 0.09y = 2160 + -270 0.12x + 0.09y = 2160 + -270 Combine like terms: 2160 + -270 = 1890 0.12x + 0.09y = 1890 Add '-0.09y' to each side of the equation. 0.12x + 0.09y + -0.09y = 1890 + -0.09y Combine like terms: 0.09y + -0.09y = 0.00 0.12x + 0.00 = 1890 + -0.09y 0.12x = 1890 + -0.09y Divide each side by '0.12'. x = 15750 + -0.75y Simplifying x = 15750 + -0.75y
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