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Simplifying 3(0.5x + 0.4y) + 15(0.3x + -0.8y) = 0 (0.5x * 3 + 0.4y * 3) + 15(0.3x + -0.8y) = 0 (1.5x + 1.2y) + 15(0.3x + -0.8y) = 0 1.5x + 1.2y + (0.3x * 15 + -0.8y * 15) = 0 1.5x + 1.2y + (4.5x + -12y) = 0 Reorder the terms: 1.5x + 4.5x + 1.2y + -12y = 0 Combine like terms: 1.5x + 4.5x = 6x 6x + 1.2y + -12y = 0 Combine like terms: 1.2y + -12y = -10.8y 6x + -10.8y = 0 Solving 6x + -10.8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.8y' to each side of the equation. 6x + -10.8y + 10.8y = 0 + 10.8y Combine like terms: -10.8y + 10.8y = 0.0 6x + 0.0 = 0 + 10.8y 6x = 0 + 10.8y Remove the zero: 6x = 10.8y Divide each side by '6'. x = 1.8y Simplifying x = 1.8y
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