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