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Simplifying 8(x + 3y) + 3(x + -2) = 0 (x * 8 + 3y * 8) + 3(x + -2) = 0 (8x + 24y) + 3(x + -2) = 0 Reorder the terms: 8x + 24y + 3(-2 + x) = 0 8x + 24y + (-2 * 3 + x * 3) = 0 8x + 24y + (-6 + 3x) = 0 Reorder the terms: -6 + 8x + 3x + 24y = 0 Combine like terms: 8x + 3x = 11x -6 + 11x + 24y = 0 Solving -6 + 11x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 11x + 6 + 24y = 0 + 6 Reorder the terms: -6 + 6 + 11x + 24y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11x + 24y = 0 + 6 11x + 24y = 0 + 6 Combine like terms: 0 + 6 = 6 11x + 24y = 6 Add '-24y' to each side of the equation. 11x + 24y + -24y = 6 + -24y Combine like terms: 24y + -24y = 0 11x + 0 = 6 + -24y 11x = 6 + -24y Divide each side by '11'. x = 0.5454545455 + -2.181818182y Simplifying x = 0.5454545455 + -2.181818182y
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