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Simplifying -7(x + -4y) + 9 = -5(y + -11) (x * -7 + -4y * -7) + 9 = -5(y + -11) (-7x + 28y) + 9 = -5(y + -11) Reorder the terms: 9 + -7x + 28y = -5(y + -11) Reorder the terms: 9 + -7x + 28y = -5(-11 + y) 9 + -7x + 28y = (-11 * -5 + y * -5) 9 + -7x + 28y = (55 + -5y) Solving 9 + -7x + 28y = 55 + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -7x + -9 + 28y = 55 + -9 + -5y Reorder the terms: 9 + -9 + -7x + 28y = 55 + -9 + -5y Combine like terms: 9 + -9 = 0 0 + -7x + 28y = 55 + -9 + -5y -7x + 28y = 55 + -9 + -5y Combine like terms: 55 + -9 = 46 -7x + 28y = 46 + -5y Add '-28y' to each side of the equation. -7x + 28y + -28y = 46 + -5y + -28y Combine like terms: 28y + -28y = 0 -7x + 0 = 46 + -5y + -28y -7x = 46 + -5y + -28y Combine like terms: -5y + -28y = -33y -7x = 46 + -33y Divide each side by '-7'. x = -6.571428571 + 4.714285714y Simplifying x = -6.571428571 + 4.714285714y
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