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Simplifying 9x + 7 + -1y = 2x + 38 + -5y Reorder the terms: 7 + 9x + -1y = 2x + 38 + -5y Reorder the terms: 7 + 9x + -1y = 38 + 2x + -5y Solving 7 + 9x + -1y = 38 + 2x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 9x + -2x + -1y = 38 + 2x + -2x + -5y Combine like terms: 9x + -2x = 7x 7 + 7x + -1y = 38 + 2x + -2x + -5y Combine like terms: 2x + -2x = 0 7 + 7x + -1y = 38 + 0 + -5y 7 + 7x + -1y = 38 + -5y Add '-7' to each side of the equation. 7 + 7x + -7 + -1y = 38 + -7 + -5y Reorder the terms: 7 + -7 + 7x + -1y = 38 + -7 + -5y Combine like terms: 7 + -7 = 0 0 + 7x + -1y = 38 + -7 + -5y 7x + -1y = 38 + -7 + -5y Combine like terms: 38 + -7 = 31 7x + -1y = 31 + -5y Add 'y' to each side of the equation. 7x + -1y + y = 31 + -5y + y Combine like terms: -1y + y = 0 7x + 0 = 31 + -5y + y 7x = 31 + -5y + y Combine like terms: -5y + y = -4y 7x = 31 + -4y Divide each side by '7'. x = 4.428571429 + -0.5714285714y Simplifying x = 4.428571429 + -0.5714285714y
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