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Simplifying (6x + -4y) + 1(5x + -3y) = 0 Remove parenthesis around (6x + -4y) 6x + -4y + 1(5x + -3y) = 0 6x + -4y + (5x * 1 + -3y * 1) = 0 6x + -4y + (5x + -3y) = 0 Reorder the terms: 6x + 5x + -4y + -3y = 0 Combine like terms: 6x + 5x = 11x 11x + -4y + -3y = 0 Combine like terms: -4y + -3y = -7y 11x + -7y = 0 Solving 11x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 11x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 11x + 0 = 0 + 7y 11x = 0 + 7y Remove the zero: 11x = 7y Divide each side by '11'. x = 0.6363636364y Simplifying x = 0.6363636364y
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