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Simplifying (3x + -5y) + (6x + 3y) + -1(2y + -4x) = 0 Remove parenthesis around (3x + -5y) 3x + -5y + (6x + 3y) + -1(2y + -4x) = 0 Remove parenthesis around (6x + 3y) 3x + -5y + 6x + 3y + -1(2y + -4x) = 0 Reorder the terms: 3x + -5y + 6x + 3y + -1(-4x + 2y) = 0 3x + -5y + 6x + 3y + (-4x * -1 + 2y * -1) = 0 3x + -5y + 6x + 3y + (4x + -2y) = 0 Reorder the terms: 3x + 6x + 4x + -5y + 3y + -2y = 0 Combine like terms: 3x + 6x = 9x 9x + 4x + -5y + 3y + -2y = 0 Combine like terms: 9x + 4x = 13x 13x + -5y + 3y + -2y = 0 Combine like terms: -5y + 3y = -2y 13x + -2y + -2y = 0 Combine like terms: -2y + -2y = -4y 13x + -4y = 0 Solving 13x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 13x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 13x + 0 = 0 + 4y 13x = 0 + 4y Remove the zero: 13x = 4y Divide each side by '13'. x = 0.3076923077y Simplifying x = 0.3076923077y
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