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Simplifying (52x + 63y) + (-14x + 32y) = 0 Remove parenthesis around (52x + 63y) 52x + 63y + (-14x + 32y) = 0 Remove parenthesis around (-14x + 32y) 52x + 63y + -14x + 32y = 0 Reorder the terms: 52x + -14x + 63y + 32y = 0 Combine like terms: 52x + -14x = 38x 38x + 63y + 32y = 0 Combine like terms: 63y + 32y = 95y 38x + 95y = 0 Solving 38x + 95y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95y' to each side of the equation. 38x + 95y + -95y = 0 + -95y Combine like terms: 95y + -95y = 0 38x + 0 = 0 + -95y 38x = 0 + -95y Remove the zero: 38x = -95y Divide each side by '38'. x = -2.5y Simplifying x = -2.5y
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