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Simplifying 8(x + y) + 7(2x + 3y) = 0 (x * 8 + y * 8) + 7(2x + 3y) = 0 (8x + 8y) + 7(2x + 3y) = 0 8x + 8y + (2x * 7 + 3y * 7) = 0 8x + 8y + (14x + 21y) = 0 Reorder the terms: 8x + 14x + 8y + 21y = 0 Combine like terms: 8x + 14x = 22x 22x + 8y + 21y = 0 Combine like terms: 8y + 21y = 29y 22x + 29y = 0 Solving 22x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 22x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 22x + 0 = 0 + -29y 22x = 0 + -29y Remove the zero: 22x = -29y Divide each side by '22'. x = -1.318181818y Simplifying x = -1.318181818y
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