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Simplifying 0.05x + 0.27 + -0.01y + 0.15y = 0.4 + 14.4 Reorder the terms: 0.27 + 0.05x + -0.01y + 0.15y = 0.4 + 14.4 Combine like terms: -0.01y + 0.15y = 0.14y 0.27 + 0.05x + 0.14y = 0.4 + 14.4 Combine like terms: 0.4 + 14.4 = 14.8 0.27 + 0.05x + 0.14y = 14.8 Solving 0.27 + 0.05x + 0.14y = 14.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + 0.05x + -0.27 + 0.14y = 14.8 + -0.27 Reorder the terms: 0.27 + -0.27 + 0.05x + 0.14y = 14.8 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + 0.05x + 0.14y = 14.8 + -0.27 0.05x + 0.14y = 14.8 + -0.27 Combine like terms: 14.8 + -0.27 = 14.53 0.05x + 0.14y = 14.53 Add '-0.14y' to each side of the equation. 0.05x + 0.14y + -0.14y = 14.53 + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 0.05x + 0.00 = 14.53 + -0.14y 0.05x = 14.53 + -0.14y Divide each side by '0.05'. x = 290.6 + -2.8y Simplifying x = 290.6 + -2.8y
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