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Simplifying 5x + -7y = 3x + y Solving 5x + -7y = 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x + -7y = 3x + -3x + y Combine like terms: 5x + -3x = 2x 2x + -7y = 3x + -3x + y Combine like terms: 3x + -3x = 0 2x + -7y = 0 + y 2x + -7y = y Add '7y' to each side of the equation. 2x + -7y + 7y = y + 7y Combine like terms: -7y + 7y = 0 2x + 0 = y + 7y 2x = y + 7y Combine like terms: y + 7y = 8y 2x = 8y Divide each side by '2'. x = 4y Simplifying x = 4y
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