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Simplifying (4x + 1) + (2x + -2) + -1(2x + -1) = 0 Reorder the terms: (1 + 4x) + (2x + -2) + -1(2x + -1) = 0 Remove parenthesis around (1 + 4x) 1 + 4x + (2x + -2) + -1(2x + -1) = 0 Reorder the terms: 1 + 4x + (-2 + 2x) + -1(2x + -1) = 0 Remove parenthesis around (-2 + 2x) 1 + 4x + -2 + 2x + -1(2x + -1) = 0 Reorder the terms: 1 + 4x + -2 + 2x + -1(-1 + 2x) = 0 1 + 4x + -2 + 2x + (-1 * -1 + 2x * -1) = 0 1 + 4x + -2 + 2x + (1 + -2x) = 0 Reorder the terms: 1 + -2 + 1 + 4x + 2x + -2x = 0 Combine like terms: 1 + -2 = -1 -1 + 1 + 4x + 2x + -2x = 0 Combine like terms: -1 + 1 = 0 0 + 4x + 2x + -2x = 0 4x + 2x + -2x = 0 Combine like terms: 4x + 2x = 6x 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 4x = 0 Solving 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 0 Simplifying x = 0
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