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Simplifying (47x + 66y) + (-5x + 46y) = 0 Remove parenthesis around (47x + 66y) 47x + 66y + (-5x + 46y) = 0 Remove parenthesis around (-5x + 46y) 47x + 66y + -5x + 46y = 0 Reorder the terms: 47x + -5x + 66y + 46y = 0 Combine like terms: 47x + -5x = 42x 42x + 66y + 46y = 0 Combine like terms: 66y + 46y = 112y 42x + 112y = 0 Solving 42x + 112y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112y' to each side of the equation. 42x + 112y + -112y = 0 + -112y Combine like terms: 112y + -112y = 0 42x + 0 = 0 + -112y 42x = 0 + -112y Remove the zero: 42x = -112y Divide each side by '42'. x = -2.666666667y Simplifying x = -2.666666667y
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