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Simplifying (46x + 62y) + -1(34x + -6y) = 0 Remove parenthesis around (46x + 62y) 46x + 62y + -1(34x + -6y) = 0 46x + 62y + (34x * -1 + -6y * -1) = 0 46x + 62y + (-34x + 6y) = 0 Reorder the terms: 46x + -34x + 62y + 6y = 0 Combine like terms: 46x + -34x = 12x 12x + 62y + 6y = 0 Combine like terms: 62y + 6y = 68y 12x + 68y = 0 Solving 12x + 68y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68y' to each side of the equation. 12x + 68y + -68y = 0 + -68y Combine like terms: 68y + -68y = 0 12x + 0 = 0 + -68y 12x = 0 + -68y Remove the zero: 12x = -68y Divide each side by '12'. x = -5.666666667y Simplifying x = -5.666666667y
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