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Simplifying (61x + 69y) + -1(12x + 25y) = 0 Remove parenthesis around (61x + 69y) 61x + 69y + -1(12x + 25y) = 0 61x + 69y + (12x * -1 + 25y * -1) = 0 61x + 69y + (-12x + -25y) = 0 Reorder the terms: 61x + -12x + 69y + -25y = 0 Combine like terms: 61x + -12x = 49x 49x + 69y + -25y = 0 Combine like terms: 69y + -25y = 44y 49x + 44y = 0 Solving 49x + 44y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44y' to each side of the equation. 49x + 44y + -44y = 0 + -44y Combine like terms: 44y + -44y = 0 49x + 0 = 0 + -44y 49x = 0 + -44y Remove the zero: 49x = -44y Divide each side by '49'. x = -0.8979591837y Simplifying x = -0.8979591837y
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