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Simplifying (5x + -4y) + -1(3x + 7y) = 0 Remove parenthesis around (5x + -4y) 5x + -4y + -1(3x + 7y) = 0 5x + -4y + (3x * -1 + 7y * -1) = 0 5x + -4y + (-3x + -7y) = 0 Reorder the terms: 5x + -3x + -4y + -7y = 0 Combine like terms: 5x + -3x = 2x 2x + -4y + -7y = 0 Combine like terms: -4y + -7y = -11y 2x + -11y = 0 Solving 2x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5y
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