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Simplifying (4y + 3x) * 3 + -1(x + -1y) = 0 Reorder the terms: (3x + 4y) * 3 + -1(x + -1y) = 0 Reorder the terms for easier multiplication: 3(3x + 4y) + -1(x + -1y) = 0 (3x * 3 + 4y * 3) + -1(x + -1y) = 0 (9x + 12y) + -1(x + -1y) = 0 9x + 12y + (x * -1 + -1y * -1) = 0 9x + 12y + (-1x + 1y) = 0 Reorder the terms: 9x + -1x + 12y + 1y = 0 Combine like terms: 9x + -1x = 8x 8x + 12y + 1y = 0 Combine like terms: 12y + 1y = 13y 8x + 13y = 0 Solving 8x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 8x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 8x + 0 = 0 + -13y 8x = 0 + -13y Remove the zero: 8x = -13y Divide each side by '8'. x = -1.625y Simplifying x = -1.625y
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