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Simplifying (45x + 63y) + -1(7x + 34y) = 0 Remove parenthesis around (45x + 63y) 45x + 63y + -1(7x + 34y) = 0 45x + 63y + (7x * -1 + 34y * -1) = 0 45x + 63y + (-7x + -34y) = 0 Reorder the terms: 45x + -7x + 63y + -34y = 0 Combine like terms: 45x + -7x = 38x 38x + 63y + -34y = 0 Combine like terms: 63y + -34y = 29y 38x + 29y = 0 Solving 38x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 38x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 38x + 0 = 0 + -29y 38x = 0 + -29y Remove the zero: 38x = -29y Divide each side by '38'. x = -0.7631578947y Simplifying x = -0.7631578947y
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