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Simplifying 10x + -3y + -1(x + 2y) + (x + -5y) = 0 10x + -3y + (x * -1 + 2y * -1) + (x + -5y) = 0 10x + -3y + (-1x + -2y) + (x + -5y) = 0 Remove parenthesis around (x + -5y) 10x + -3y + -1x + -2y + x + -5y = 0 Reorder the terms: 10x + -1x + x + -3y + -2y + -5y = 0 Combine like terms: 10x + -1x = 9x 9x + x + -3y + -2y + -5y = 0 Combine like terms: 9x + x = 10x 10x + -3y + -2y + -5y = 0 Combine like terms: -3y + -2y = -5y 10x + -5y + -5y = 0 Combine like terms: -5y + -5y = -10y 10x + -10y = 0 Solving 10x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 10x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 10x + 0 = 0 + 10y 10x = 0 + 10y Remove the zero: 10x = 10y Divide each side by '10'. x = y Simplifying x = y
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