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Simplifying 7(2x + y) + 5(x + 4y) = 0 (2x * 7 + y * 7) + 5(x + 4y) = 0 (14x + 7y) + 5(x + 4y) = 0 14x + 7y + (x * 5 + 4y * 5) = 0 14x + 7y + (5x + 20y) = 0 Reorder the terms: 14x + 5x + 7y + 20y = 0 Combine like terms: 14x + 5x = 19x 19x + 7y + 20y = 0 Combine like terms: 7y + 20y = 27y 19x + 27y = 0 Solving 19x + 27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27y' to each side of the equation. 19x + 27y + -27y = 0 + -27y Combine like terms: 27y + -27y = 0 19x + 0 = 0 + -27y 19x = 0 + -27y Remove the zero: 19x = -27y Divide each side by '19'. x = -1.421052632y Simplifying x = -1.421052632y
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