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Simplifying (47x + 57y) + (-15x + 44y) = 0 Remove parenthesis around (47x + 57y) 47x + 57y + (-15x + 44y) = 0 Remove parenthesis around (-15x + 44y) 47x + 57y + -15x + 44y = 0 Reorder the terms: 47x + -15x + 57y + 44y = 0 Combine like terms: 47x + -15x = 32x 32x + 57y + 44y = 0 Combine like terms: 57y + 44y = 101y 32x + 101y = 0 Solving 32x + 101y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-101y' to each side of the equation. 32x + 101y + -101y = 0 + -101y Combine like terms: 101y + -101y = 0 32x + 0 = 0 + -101y 32x = 0 + -101y Remove the zero: 32x = -101y Divide each side by '32'. x = -3.15625y Simplifying x = -3.15625y
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