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Simplifying 3.5(x + 1.2y) + 4(1.2x + 1.5y) = 0 (x * 3.5 + 1.2y * 3.5) + 4(1.2x + 1.5y) = 0 (3.5x + 4.2y) + 4(1.2x + 1.5y) = 0 3.5x + 4.2y + (1.2x * 4 + 1.5y * 4) = 0 3.5x + 4.2y + (4.8x + 6y) = 0 Reorder the terms: 3.5x + 4.8x + 4.2y + 6y = 0 Combine like terms: 3.5x + 4.8x = 8.3x 8.3x + 4.2y + 6y = 0 Combine like terms: 4.2y + 6y = 10.2y 8.3x + 10.2y = 0 Solving 8.3x + 10.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.2y' to each side of the equation. 8.3x + 10.2y + -10.2y = 0 + -10.2y Combine like terms: 10.2y + -10.2y = 0.0 8.3x + 0.0 = 0 + -10.2y 8.3x = 0 + -10.2y Remove the zero: 8.3x = -10.2y Divide each side by '8.3'. x = -1.228915663y Simplifying x = -1.228915663y
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