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Simplifying (6x + -1y) + -1(4y + x) = 0 Remove parenthesis around (6x + -1y) 6x + -1y + -1(4y + x) = 0 Reorder the terms: 6x + -1y + -1(x + 4y) = 0 6x + -1y + (x * -1 + 4y * -1) = 0 6x + -1y + (-1x + -4y) = 0 Reorder the terms: 6x + -1x + -1y + -4y = 0 Combine like terms: 6x + -1x = 5x 5x + -1y + -4y = 0 Combine like terms: -1y + -4y = -5y 5x + -5y = 0 Solving 5x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 5x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 5x + 0 = 0 + 5y 5x = 0 + 5y Remove the zero: 5x = 5y Divide each side by '5'. x = y Simplifying x = y
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