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Simplifying (43x + -7y) + (46x + 46y) = 0 Remove parenthesis around (43x + -7y) 43x + -7y + (46x + 46y) = 0 Remove parenthesis around (46x + 46y) 43x + -7y + 46x + 46y = 0 Reorder the terms: 43x + 46x + -7y + 46y = 0 Combine like terms: 43x + 46x = 89x 89x + -7y + 46y = 0 Combine like terms: -7y + 46y = 39y 89x + 39y = 0 Solving 89x + 39y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39y' to each side of the equation. 89x + 39y + -39y = 0 + -39y Combine like terms: 39y + -39y = 0 89x + 0 = 0 + -39y 89x = 0 + -39y Remove the zero: 89x = -39y Divide each side by '89'. x = -0.4382022472y Simplifying x = -0.4382022472y
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