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Simplifying (3x + 2) + -1(-2x + 1) = 0 Reorder the terms: (2 + 3x) + -1(-2x + 1) = 0 Remove parenthesis around (2 + 3x) 2 + 3x + -1(-2x + 1) = 0 Reorder the terms: 2 + 3x + -1(1 + -2x) = 0 2 + 3x + (1 * -1 + -2x * -1) = 0 2 + 3x + (-1 + 2x) = 0 Reorder the terms: 2 + -1 + 3x + 2x = 0 Combine like terms: 2 + -1 = 1 1 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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