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Simplifying 8(0.75x + 2y) + 6(1.5x + -2y) = 0 (0.75x * 8 + 2y * 8) + 6(1.5x + -2y) = 0 (6x + 16y) + 6(1.5x + -2y) = 0 6x + 16y + (1.5x * 6 + -2y * 6) = 0 6x + 16y + (9x + -12y) = 0 Reorder the terms: 6x + 9x + 16y + -12y = 0 Combine like terms: 6x + 9x = 15x 15x + 16y + -12y = 0 Combine like terms: 16y + -12y = 4y 15x + 4y = 0 Solving 15x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 15x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 15x + 0 = 0 + -4y 15x = 0 + -4y Remove the zero: 15x = -4y Divide each side by '15'. x = -0.2666666667y Simplifying x = -0.2666666667y
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