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Simplifying 4x + -4(3 + -1(4 + -2x)) = 0 4x + -4(3 + (4 * -1 + -2x * -1)) = 0 4x + -4(3 + (-4 + 2x)) = 0 Combine like terms: 3 + -4 = -1 4x + -4(-1 + 2x) = 0 4x + (-1 * -4 + 2x * -4) = 0 4x + (4 + -8x) = 0 Reorder the terms: 4 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x 4 + -4x = 0 Solving 4 + -4x = 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 + -4 + -4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 0 + -4 -4x = 0 + -4 Combine like terms: 0 + -4 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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