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Simplifying (3x2 + -2 + 4) + -1(3x2 + 1) = 6x + 2 Reorder the terms: (-2 + 4 + 3x2) + -1(3x2 + 1) = 6x + 2 Combine like terms: -2 + 4 = 2 (2 + 3x2) + -1(3x2 + 1) = 6x + 2 Remove parenthesis around (2 + 3x2) 2 + 3x2 + -1(3x2 + 1) = 6x + 2 Reorder the terms: 2 + 3x2 + -1(1 + 3x2) = 6x + 2 2 + 3x2 + (1 * -1 + 3x2 * -1) = 6x + 2 2 + 3x2 + (-1 + -3x2) = 6x + 2 Reorder the terms: 2 + -1 + 3x2 + -3x2 = 6x + 2 Combine like terms: 2 + -1 = 1 1 + 3x2 + -3x2 = 6x + 2 Combine like terms: 3x2 + -3x2 = 0 1 + 0 = 6x + 2 1 = 6x + 2 Reorder the terms: 1 = 2 + 6x Solving 1 = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x = 2 + 0 1 + -6x = 2 Add '-1' to each side of the equation. 1 + -1 + -6x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 2 + -1 -6x = 2 + -1 Combine like terms: 2 + -1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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