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Simplifying (4x + -7y) + (x + -3y) = 0 Remove parenthesis around (4x + -7y) 4x + -7y + (x + -3y) = 0 Remove parenthesis around (x + -3y) 4x + -7y + x + -3y = 0 Reorder the terms: 4x + x + -7y + -3y = 0 Combine like terms: 4x + x = 5x 5x + -7y + -3y = 0 Combine like terms: -7y + -3y = -10y 5x + -10y = 0 Solving 5x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 5x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 5x + 0 = 0 + 10y 5x = 0 + 10y Remove the zero: 5x = 10y Divide each side by '5'. x = 2y Simplifying x = 2y
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