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Simplifying (35x + 62y) + (-30x + 47y) = 0 Remove parenthesis around (35x + 62y) 35x + 62y + (-30x + 47y) = 0 Remove parenthesis around (-30x + 47y) 35x + 62y + -30x + 47y = 0 Reorder the terms: 35x + -30x + 62y + 47y = 0 Combine like terms: 35x + -30x = 5x 5x + 62y + 47y = 0 Combine like terms: 62y + 47y = 109y 5x + 109y = 0 Solving 5x + 109y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-109y' to each side of the equation. 5x + 109y + -109y = 0 + -109y Combine like terms: 109y + -109y = 0 5x + 0 = 0 + -109y 5x = 0 + -109y Remove the zero: 5x = -109y Divide each side by '5'. x = -21.8y Simplifying x = -21.8y
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