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Simplifying -7x + [-4x + (-2 + 4x)] + -5x + 1 = 0 Remove parenthesis around (-2 + 4x) -7x + [-4x + -2 + 4x] + -5x + 1 = 0 Reorder the terms: -7x + [-2 + -4x + 4x] + -5x + 1 = 0 Combine like terms: -4x + 4x = 0 -7x + [-2 + 0] + -5x + 1 = 0 -7x + [-2] + -5x + 1 = 0 -7x + -2 + -5x + 1 = 0 Reorder the terms: -2 + 1 + -7x + -5x = 0 Combine like terms: -2 + 1 = -1 -1 + -7x + -5x = 0 Combine like terms: -7x + -5x = -12x -1 + -12x = 0 Solving -1 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -12x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 0 + 1 -12x = 0 + 1 Combine like terms: 0 + 1 = 1 -12x = 1 Divide each side by '-12'. x = -0.08333333333 Simplifying x = -0.08333333333
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