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Simplifying -7x + 4y + 9 + -2y + -4x = -7 + -5(-1x + -5y) Reorder the terms: 9 + -7x + -4x + 4y + -2y = -7 + -5(-1x + -5y) Combine like terms: -7x + -4x = -11x 9 + -11x + 4y + -2y = -7 + -5(-1x + -5y) Combine like terms: 4y + -2y = 2y 9 + -11x + 2y = -7 + -5(-1x + -5y) 9 + -11x + 2y = -7 + (-1x * -5 + -5y * -5) 9 + -11x + 2y = -7 + (5x + 25y) Solving 9 + -11x + 2y = -7 + 5x + 25y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -11x + -5x + 2y = -7 + 5x + -5x + 25y Combine like terms: -11x + -5x = -16x 9 + -16x + 2y = -7 + 5x + -5x + 25y Combine like terms: 5x + -5x = 0 9 + -16x + 2y = -7 + 0 + 25y 9 + -16x + 2y = -7 + 25y Add '-9' to each side of the equation. 9 + -16x + -9 + 2y = -7 + -9 + 25y Reorder the terms: 9 + -9 + -16x + 2y = -7 + -9 + 25y Combine like terms: 9 + -9 = 0 0 + -16x + 2y = -7 + -9 + 25y -16x + 2y = -7 + -9 + 25y Combine like terms: -7 + -9 = -16 -16x + 2y = -16 + 25y Add '-2y' to each side of the equation. -16x + 2y + -2y = -16 + 25y + -2y Combine like terms: 2y + -2y = 0 -16x + 0 = -16 + 25y + -2y -16x = -16 + 25y + -2y Combine like terms: 25y + -2y = 23y -16x = -16 + 23y Divide each side by '-16'. x = 1 + -1.4375y Simplifying x = 1 + -1.4375y
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