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Simplifying 4.2(x + y) + 3.3(x + y) + 5x = 0 (x * 4.2 + y * 4.2) + 3.3(x + y) + 5x = 0 (4.2x + 4.2y) + 3.3(x + y) + 5x = 0 4.2x + 4.2y + (x * 3.3 + y * 3.3) + 5x = 0 4.2x + 4.2y + (3.3x + 3.3y) + 5x = 0 Reorder the terms: 4.2x + 3.3x + 5x + 4.2y + 3.3y = 0 Combine like terms: 4.2x + 3.3x = 7.5x 7.5x + 5x + 4.2y + 3.3y = 0 Combine like terms: 7.5x + 5x = 12.5x 12.5x + 4.2y + 3.3y = 0 Combine like terms: 4.2y + 3.3y = 7.5y 12.5x + 7.5y = 0 Solving 12.5x + 7.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5y' to each side of the equation. 12.5x + 7.5y + -7.5y = 0 + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 12.5x + 0.0 = 0 + -7.5y 12.5x = 0 + -7.5y Remove the zero: 12.5x = -7.5y Divide each side by '12.5'. x = -0.6y Simplifying x = -0.6y
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