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Simplifying 2[2(x + y) + -4(4x + -5y)] = 0 2[(x * 2 + y * 2) + -4(4x + -5y)] = 0 2[(2x + 2y) + -4(4x + -5y)] = 0 2[2x + 2y + (4x * -4 + -5y * -4)] = 0 2[2x + 2y + (-16x + 20y)] = 0 Reorder the terms: 2[2x + -16x + 2y + 20y] = 0 Combine like terms: 2x + -16x = -14x 2[-14x + 2y + 20y] = 0 Combine like terms: 2y + 20y = 22y 2[-14x + 22y] = 0 [-14x * 2 + 22y * 2] = 0 [-28x + 44y] = 0 Solving -28x + 44y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44y' to each side of the equation. -28x + 44y + -44y = 0 + -44y Combine like terms: 44y + -44y = 0 -28x + 0 = 0 + -44y -28x = 0 + -44y Remove the zero: -28x = -44y Divide each side by '-28'. x = 1.571428571y Simplifying x = 1.571428571y
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