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Simplifying (2x + 1) + -1(-4x + 2) = 0 Reorder the terms: (1 + 2x) + -1(-4x + 2) = 0 Remove parenthesis around (1 + 2x) 1 + 2x + -1(-4x + 2) = 0 Reorder the terms: 1 + 2x + -1(2 + -4x) = 0 1 + 2x + (2 * -1 + -4x * -1) = 0 1 + 2x + (-2 + 4x) = 0 Reorder the terms: 1 + -2 + 2x + 4x = 0 Combine like terms: 1 + -2 = -1 -1 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -1 + 6x = 0 Solving -1 + 6x = 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 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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