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Simplifying 5y + x = y + -7x Reorder the terms: x + 5y = y + -7x Reorder the terms: x + 5y = -7x + y Solving x + 5y = -7x + y 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. x + 7x + 5y = -7x + 7x + y Combine like terms: x + 7x = 8x 8x + 5y = -7x + 7x + y Combine like terms: -7x + 7x = 0 8x + 5y = 0 + y 8x + 5y = y Add '-5y' to each side of the equation. 8x + 5y + -5y = y + -5y Combine like terms: 5y + -5y = 0 8x + 0 = y + -5y 8x = y + -5y Combine like terms: y + -5y = -4y 8x = -4y Divide each side by '8'. x = -0.5y Simplifying x = -0.5y
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