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Simplifying 9(-3x + 5y) + -7(x + 6y) = 0 (-3x * 9 + 5y * 9) + -7(x + 6y) = 0 (-27x + 45y) + -7(x + 6y) = 0 -27x + 45y + (x * -7 + 6y * -7) = 0 -27x + 45y + (-7x + -42y) = 0 Reorder the terms: -27x + -7x + 45y + -42y = 0 Combine like terms: -27x + -7x = -34x -34x + 45y + -42y = 0 Combine like terms: 45y + -42y = 3y -34x + 3y = 0 Solving -34x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -34x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -34x + 0 = 0 + -3y -34x = 0 + -3y Remove the zero: -34x = -3y Divide each side by '-34'. x = 0.08823529412y Simplifying x = 0.08823529412y
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