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Simplifying (34x + 56y) + (41x + -14y) = 0 Remove parenthesis around (34x + 56y) 34x + 56y + (41x + -14y) = 0 Remove parenthesis around (41x + -14y) 34x + 56y + 41x + -14y = 0 Reorder the terms: 34x + 41x + 56y + -14y = 0 Combine like terms: 34x + 41x = 75x 75x + 56y + -14y = 0 Combine like terms: 56y + -14y = 42y 75x + 42y = 0 Solving 75x + 42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42y' to each side of the equation. 75x + 42y + -42y = 0 + -42y Combine like terms: 42y + -42y = 0 75x + 0 = 0 + -42y 75x = 0 + -42y Remove the zero: 75x = -42y Divide each side by '75'. x = -0.56y Simplifying x = -0.56y
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