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Simplifying (7x + -5y) + -1(3x + 2y) = 0 Remove parenthesis around (7x + -5y) 7x + -5y + -1(3x + 2y) = 0 7x + -5y + (3x * -1 + 2y * -1) = 0 7x + -5y + (-3x + -2y) = 0 Reorder the terms: 7x + -3x + -5y + -2y = 0 Combine like terms: 7x + -3x = 4x 4x + -5y + -2y = 0 Combine like terms: -5y + -2y = -7y 4x + -7y = 0 Solving 4x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 4x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 4x + 0 = 0 + 7y 4x = 0 + 7y Remove the zero: 4x = 7y Divide each side by '4'. x = 1.75y Simplifying x = 1.75y
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