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Simplifying 4 + -2[x + -3(2 + -3x) + -4x] = 4x 4 + -2[x + (2 * -3 + -3x * -3) + -4x] = 4x 4 + -2[x + (-6 + 9x) + -4x] = 4x Reorder the terms: 4 + -2[-6 + x + 9x + -4x] = 4x Combine like terms: x + 9x = 10x 4 + -2[-6 + 10x + -4x] = 4x Combine like terms: 10x + -4x = 6x 4 + -2[-6 + 6x] = 4x 4 + [-6 * -2 + 6x * -2] = 4x 4 + [12 + -12x] = 4x Combine like terms: 4 + 12 = 16 16 + -12x = 4x Solving 16 + -12x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -12x + -4x = 4x + -4x Combine like terms: -12x + -4x = -16x 16 + -16x = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -16x = 0 Add '-16' to each side of the equation. 16 + -16 + -16x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -16x = 0 + -16 -16x = 0 + -16 Combine like terms: 0 + -16 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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