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Simplifying (20x + 13y) + -1(4x + 7y) = 0 Remove parenthesis around (20x + 13y) 20x + 13y + -1(4x + 7y) = 0 20x + 13y + (4x * -1 + 7y * -1) = 0 20x + 13y + (-4x + -7y) = 0 Reorder the terms: 20x + -4x + 13y + -7y = 0 Combine like terms: 20x + -4x = 16x 16x + 13y + -7y = 0 Combine like terms: 13y + -7y = 6y 16x + 6y = 0 Solving 16x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 16x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 16x + 0 = 0 + -6y 16x = 0 + -6y Remove the zero: 16x = -6y Divide each side by '16'. x = -0.375y Simplifying x = -0.375y
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