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Simplifying 5x + -1y = 7x + -4y Solving 5x + -1y = 7x + -4y 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 + -1y = 7x + -7x + -4y Combine like terms: 5x + -7x = -2x -2x + -1y = 7x + -7x + -4y Combine like terms: 7x + -7x = 0 -2x + -1y = 0 + -4y -2x + -1y = -4y Add 'y' to each side of the equation. -2x + -1y + y = -4y + y Combine like terms: -1y + y = 0 -2x + 0 = -4y + y -2x = -4y + y Combine like terms: -4y + y = -3y -2x = -3y Divide each side by '-2'. x = 1.5y Simplifying x = 1.5y
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