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Simplifying 2x + -3y + -9(x + 2y) = 0 2x + -3y + (x * -9 + 2y * -9) = 0 2x + -3y + (-9x + -18y) = 0 Reorder the terms: 2x + -9x + -3y + -18y = 0 Combine like terms: 2x + -9x = -7x -7x + -3y + -18y = 0 Combine like terms: -3y + -18y = -21y -7x + -21y = 0 Solving -7x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. -7x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 -7x + 0 = 0 + 21y -7x = 0 + 21y Remove the zero: -7x = 21y Divide each side by '-7'. x = -3y Simplifying x = -3y
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