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Simplifying 4 + -1[3x + -6y] + -2[4x + 5y] = 0 4 + [3x * -1 + -6y * -1] + -2[4x + 5y] = 0 4 + [-3x + 6y] + -2[4x + 5y] = 0 4 + -3x + 6y + [4x * -2 + 5y * -2] = 0 4 + -3x + 6y + [-8x + -10y] = 0 Reorder the terms: 4 + -3x + -8x + 6y + -10y = 0 Combine like terms: -3x + -8x = -11x 4 + -11x + 6y + -10y = 0 Combine like terms: 6y + -10y = -4y 4 + -11x + -4y = 0 Solving 4 + -11x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -11x + -4 + -4y = 0 + -4 Reorder the terms: 4 + -4 + -11x + -4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x + -4y = 0 + -4 -11x + -4y = 0 + -4 Combine like terms: 0 + -4 = -4 -11x + -4y = -4 Add '4y' to each side of the equation. -11x + -4y + 4y = -4 + 4y Combine like terms: -4y + 4y = 0 -11x + 0 = -4 + 4y -11x = -4 + 4y Divide each side by '-11'. x = 0.3636363636 + -0.3636363636y Simplifying x = 0.3636363636 + -0.3636363636y
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