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Simplifying 5x + 5y = 7x + 67 + -1y Reorder the terms: 5x + 5y = 67 + 7x + -1y Solving 5x + 5y = 67 + 7x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x + 5y = 67 + 7x + -7x + -1y Combine like terms: 5x + -7x = -2x -2x + 5y = 67 + 7x + -7x + -1y Combine like terms: 7x + -7x = 0 -2x + 5y = 67 + 0 + -1y -2x + 5y = 67 + -1y Add '-5y' to each side of the equation. -2x + 5y + -5y = 67 + -1y + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 67 + -1y + -5y -2x = 67 + -1y + -5y Combine like terms: -1y + -5y = -6y -2x = 67 + -6y Divide each side by '-2'. x = -33.5 + 3y Simplifying x = -33.5 + 3y
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