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Simplifying (3x + 5y) + -1(7x + -3y) = 0 Remove parenthesis around (3x + 5y) 3x + 5y + -1(7x + -3y) = 0 3x + 5y + (7x * -1 + -3y * -1) = 0 3x + 5y + (-7x + 3y) = 0 Reorder the terms: 3x + -7x + 5y + 3y = 0 Combine like terms: 3x + -7x = -4x -4x + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -4x + 8y = 0 Solving -4x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -4x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -4x + 0 = 0 + -8y -4x = 0 + -8y Remove the zero: -4x = -8y Divide each side by '-4'. x = 2y Simplifying x = 2y
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