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Simplifying 5(y + -1x) = x + 5y Reorder the terms: 5(-1x + y) = x + 5y (-1x * 5 + y * 5) = x + 5y (-5x + 5y) = x + 5y Add '-5y' to each side of the equation. -5x + 5y + -5y = x + 5y + -5y Combine like terms: 5y + -5y = 0 -5x + 0 = x + 5y + -5y -5x = x + 5y + -5y Combine like terms: 5y + -5y = 0 -5x = x + 0 -5x = x Solving -5x = x 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 = x + -1x Combine like terms: -5x + -1x = -6x -6x = x + -1x Combine like terms: x + -1x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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