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