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Simplifying 1.5(x + 1.2y) + 4(1.2x + 1.2y) = 0 (x * 1.5 + 1.2y * 1.5) + 4(1.2x + 1.2y) = 0 (1.5x + 1.8y) + 4(1.2x + 1.2y) = 0 1.5x + 1.8y + (1.2x * 4 + 1.2y * 4) = 0 1.5x + 1.8y + (4.8x + 4.8y) = 0 Reorder the terms: 1.5x + 4.8x + 1.8y + 4.8y = 0 Combine like terms: 1.5x + 4.8x = 6.3x 6.3x + 1.8y + 4.8y = 0 Combine like terms: 1.8y + 4.8y = 6.6y 6.3x + 6.6y = 0 Solving 6.3x + 6.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6y' to each side of the equation. 6.3x + 6.6y + -6.6y = 0 + -6.6y Combine like terms: 6.6y + -6.6y = 0.0 6.3x + 0.0 = 0 + -6.6y 6.3x = 0 + -6.6y Remove the zero: 6.3x = -6.6y Divide each side by '6.3'. x = -1.047619048y Simplifying x = -1.047619048y
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