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Simplifying (63x + 45y) + -1(13x + 40y) = 0 Remove parenthesis around (63x + 45y) 63x + 45y + -1(13x + 40y) = 0 63x + 45y + (13x * -1 + 40y * -1) = 0 63x + 45y + (-13x + -40y) = 0 Reorder the terms: 63x + -13x + 45y + -40y = 0 Combine like terms: 63x + -13x = 50x 50x + 45y + -40y = 0 Combine like terms: 45y + -40y = 5y 50x + 5y = 0 Solving 50x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 50x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 50x + 0 = 0 + -5y 50x = 0 + -5y Remove the zero: 50x = -5y Divide each side by '50'. x = -0.1y Simplifying x = -0.1y
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