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Simplifying 4x + -2[-1x + -1(7x + -1y) + 5(x + -2y) + -2(3x + -4y)] = 0 4x + -2[-1x + (7x * -1 + -1y * -1) + 5(x + -2y) + -2(3x + -4y)] = 0 4x + -2[-1x + (-7x + 1y) + 5(x + -2y) + -2(3x + -4y)] = 0 4x + -2[-1x + -7x + 1y + (x * 5 + -2y * 5) + -2(3x + -4y)] = 0 4x + -2[-1x + -7x + 1y + (5x + -10y) + -2(3x + -4y)] = 0 4x + -2[-1x + -7x + 1y + 5x + -10y + (3x * -2 + -4y * -2)] = 0 4x + -2[-1x + -7x + 1y + 5x + -10y + (-6x + 8y)] = 0 Reorder the terms: 4x + -2[-1x + -7x + 5x + -6x + 1y + -10y + 8y] = 0 Combine like terms: -1x + -7x = -8x 4x + -2[-8x + 5x + -6x + 1y + -10y + 8y] = 0 Combine like terms: -8x + 5x = -3x 4x + -2[-3x + -6x + 1y + -10y + 8y] = 0 Combine like terms: -3x + -6x = -9x 4x + -2[-9x + 1y + -10y + 8y] = 0 Combine like terms: 1y + -10y = -9y 4x + -2[-9x + -9y + 8y] = 0 Combine like terms: -9y + 8y = -1y 4x + -2[-9x + -1y] = 0 4x + [-9x * -2 + -1y * -2] = 0 4x + [18x + 2y] = 0 Combine like terms: 4x + 18x = 22x 22x + 2y = 0 Solving 22x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 22x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 22x + 0 = 0 + -2y 22x = 0 + -2y Remove the zero: 22x = -2y Divide each side by '22'. x = -0.09090909091y Simplifying x = -0.09090909091y
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