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Simplifying 6y + x = 4y + -1x Reorder the terms: x + 6y = 4y + -1x Reorder the terms: x + 6y = -1x + 4y Solving x + 6y = -1x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + x + 6y = -1x + x + 4y Combine like terms: x + x = 2x 2x + 6y = -1x + x + 4y Combine like terms: -1x + x = 0 2x + 6y = 0 + 4y 2x + 6y = 4y Add '-6y' to each side of the equation. 2x + 6y + -6y = 4y + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 4y + -6y 2x = 4y + -6y Combine like terms: 4y + -6y = -2y 2x = -2y Divide each side by '2'. x = -1y Simplifying x = -1y
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