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Simplifying 3(5 + x + 4y) + 4(3 + 2x + 3y) = 0 (5 * 3 + x * 3 + 4y * 3) + 4(3 + 2x + 3y) = 0 (15 + 3x + 12y) + 4(3 + 2x + 3y) = 0 15 + 3x + 12y + (3 * 4 + 2x * 4 + 3y * 4) = 0 15 + 3x + 12y + (12 + 8x + 12y) = 0 Reorder the terms: 15 + 12 + 3x + 8x + 12y + 12y = 0 Combine like terms: 15 + 12 = 27 27 + 3x + 8x + 12y + 12y = 0 Combine like terms: 3x + 8x = 11x 27 + 11x + 12y + 12y = 0 Combine like terms: 12y + 12y = 24y 27 + 11x + 24y = 0 Solving 27 + 11x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 11x + -27 + 24y = 0 + -27 Reorder the terms: 27 + -27 + 11x + 24y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11x + 24y = 0 + -27 11x + 24y = 0 + -27 Combine like terms: 0 + -27 = -27 11x + 24y = -27 Add '-24y' to each side of the equation. 11x + 24y + -24y = -27 + -24y Combine like terms: 24y + -24y = 0 11x + 0 = -27 + -24y 11x = -27 + -24y Divide each side by '11'. x = -2.454545455 + -2.181818182y Simplifying x = -2.454545455 + -2.181818182y
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