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Simplifying (63x + 51y) + -1(20x + 32y) = 0 Remove parenthesis around (63x + 51y) 63x + 51y + -1(20x + 32y) = 0 63x + 51y + (20x * -1 + 32y * -1) = 0 63x + 51y + (-20x + -32y) = 0 Reorder the terms: 63x + -20x + 51y + -32y = 0 Combine like terms: 63x + -20x = 43x 43x + 51y + -32y = 0 Combine like terms: 51y + -32y = 19y 43x + 19y = 0 Solving 43x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 43x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 43x + 0 = 0 + -19y 43x = 0 + -19y Remove the zero: 43x = -19y Divide each side by '43'. x = -0.4418604651y Simplifying x = -0.4418604651y
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