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Simplifying 5x + y = x + -7y Solving 5x + y = x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5x + -1x + y = x + -1x + -7y Combine like terms: 5x + -1x = 4x 4x + y = x + -1x + -7y Combine like terms: x + -1x = 0 4x + y = 0 + -7y 4x + y = -7y Add '-1y' to each side of the equation. 4x + y + -1y = -7y + -1y Combine like terms: y + -1y = 0 4x + 0 = -7y + -1y 4x = -7y + -1y Combine like terms: -7y + -1y = -8y 4x = -8y Divide each side by '4'. x = -2y Simplifying x = -2y
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