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Simplifying (13x + -9y) + -1(4x + 10y) = 0 Remove parenthesis around (13x + -9y) 13x + -9y + -1(4x + 10y) = 0 13x + -9y + (4x * -1 + 10y * -1) = 0 13x + -9y + (-4x + -10y) = 0 Reorder the terms: 13x + -4x + -9y + -10y = 0 Combine like terms: 13x + -4x = 9x 9x + -9y + -10y = 0 Combine like terms: -9y + -10y = -19y 9x + -19y = 0 Solving 9x + -19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 9x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 9x + 0 = 0 + 19y 9x = 0 + 19y Remove the zero: 9x = 19y Divide each side by '9'. x = 2.111111111y Simplifying x = 2.111111111y
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