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Simplifying (6x2 + -3x + -2) + -1(4x2 + 3) = 2x2 + 8 Reorder the terms: (-2 + -3x + 6x2) + -1(4x2 + 3) = 2x2 + 8 Remove parenthesis around (-2 + -3x + 6x2) -2 + -3x + 6x2 + -1(4x2 + 3) = 2x2 + 8 Reorder the terms: -2 + -3x + 6x2 + -1(3 + 4x2) = 2x2 + 8 -2 + -3x + 6x2 + (3 * -1 + 4x2 * -1) = 2x2 + 8 -2 + -3x + 6x2 + (-3 + -4x2) = 2x2 + 8 Reorder the terms: -2 + -3 + -3x + 6x2 + -4x2 = 2x2 + 8 Combine like terms: -2 + -3 = -5 -5 + -3x + 6x2 + -4x2 = 2x2 + 8 Combine like terms: 6x2 + -4x2 = 2x2 -5 + -3x + 2x2 = 2x2 + 8 Reorder the terms: -5 + -3x + 2x2 = 8 + 2x2 Add '-2x2' to each side of the equation. -5 + -3x + 2x2 + -2x2 = 8 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -3x + 0 = 8 + 2x2 + -2x2 -5 + -3x = 8 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -3x = 8 + 0 -5 + -3x = 8 Solving -5 + -3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 8 + 5 -3x = 8 + 5 Combine like terms: 8 + 5 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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