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Simplifying (65x + 47y) + -1(-39x + 10y) = 0 Remove parenthesis around (65x + 47y) 65x + 47y + -1(-39x + 10y) = 0 65x + 47y + (-39x * -1 + 10y * -1) = 0 65x + 47y + (39x + -10y) = 0 Reorder the terms: 65x + 39x + 47y + -10y = 0 Combine like terms: 65x + 39x = 104x 104x + 47y + -10y = 0 Combine like terms: 47y + -10y = 37y 104x + 37y = 0 Solving 104x + 37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37y' to each side of the equation. 104x + 37y + -37y = 0 + -37y Combine like terms: 37y + -37y = 0 104x + 0 = 0 + -37y 104x = 0 + -37y Remove the zero: 104x = -37y Divide each side by '104'. x = -0.3557692308y Simplifying x = -0.3557692308y
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