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Simplifying 0.01(500 + -30x) = 5.4x + 200y(0.2x + -3) (500 * 0.01 + -30x * 0.01) = 5.4x + 200y(0.2x + -3) (5 + -0.3x) = 5.4x + 200y(0.2x + -3) Reorder the terms: 5 + -0.3x = 5.4x + 200y(-3 + 0.2x) 5 + -0.3x = 5.4x + (-3 * 200y + 0.2x * 200y) Reorder the terms: 5 + -0.3x = 5.4x + (40xy + -600y) 5 + -0.3x = 5.4x + (40xy + -600y) Solving 5 + -0.3x = 5.4x + 40xy + -600y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 5 + -0.3x + -5.4x = 5.4x + 40xy + -5.4x + -600y Combine like terms: -0.3x + -5.4x = -5.7x 5 + -5.7x = 5.4x + 40xy + -5.4x + -600y Reorder the terms: 5 + -5.7x = 5.4x + -5.4x + 40xy + -600y Combine like terms: 5.4x + -5.4x = 0.0 5 + -5.7x = 0.0 + 40xy + -600y 5 + -5.7x = 40xy + -600y Add '-40xy' to each side of the equation. 5 + -5.7x + -40xy = 40xy + -40xy + -600y Combine like terms: 40xy + -40xy = 0 5 + -5.7x + -40xy = 0 + -600y 5 + -5.7x + -40xy = -600y Add '-5' to each side of the equation. 5 + -5.7x + -5 + -40xy = -5 + -600y Reorder the terms: 5 + -5 + -5.7x + -40xy = -5 + -600y Combine like terms: 5 + -5 = 0 0 + -5.7x + -40xy = -5 + -600y -5.7x + -40xy = -5 + -600y Reorder the terms: 5 + -5.7x + -40xy + 600y = -5 + -600y + 5 + 600y Reorder the terms: 5 + -5.7x + -40xy + 600y = -5 + 5 + -600y + 600y Combine like terms: -5 + 5 = 0 5 + -5.7x + -40xy + 600y = 0 + -600y + 600y 5 + -5.7x + -40xy + 600y = -600y + 600y Combine like terms: -600y + 600y = 0 5 + -5.7x + -40xy + 600y = 0 The solution to this equation could not be determined.
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