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Simplifying (3x2 + -2x + 4) + -1(3x2 + 1) = 6x + 2 Reorder the terms: (4 + -2x + 3x2) + -1(3x2 + 1) = 6x + 2 Remove parenthesis around (4 + -2x + 3x2) 4 + -2x + 3x2 + -1(3x2 + 1) = 6x + 2 Reorder the terms: 4 + -2x + 3x2 + -1(1 + 3x2) = 6x + 2 4 + -2x + 3x2 + (1 * -1 + 3x2 * -1) = 6x + 2 4 + -2x + 3x2 + (-1 + -3x2) = 6x + 2 Reorder the terms: 4 + -1 + -2x + 3x2 + -3x2 = 6x + 2 Combine like terms: 4 + -1 = 3 3 + -2x + 3x2 + -3x2 = 6x + 2 Combine like terms: 3x2 + -3x2 = 0 3 + -2x + 0 = 6x + 2 3 + -2x = 6x + 2 Reorder the terms: 3 + -2x = 2 + 6x Solving 3 + -2x = 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. 3 + -2x + -6x = 2 + 6x + -6x Combine like terms: -2x + -6x = -8x 3 + -8x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -8x = 2 + 0 3 + -8x = 2 Add '-3' to each side of the equation. 3 + -3 + -8x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 2 + -3 -8x = 2 + -3 Combine like terms: 2 + -3 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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