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Simplifying 4[2x + -3(x + 2y)] = 0 4[2x + (x * -3 + 2y * -3)] = 0 4[2x + (-3x + -6y)] = 0 Combine like terms: 2x + -3x = -1x 4[-1x + -6y] = 0 [-1x * 4 + -6y * 4] = 0 [-4x + -24y] = 0 Solving -4x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. -4x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 -4x + 0 = 0 + 24y -4x = 0 + 24y Remove the zero: -4x = 24y Divide each side by '-4'. x = -6y Simplifying x = -6y
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