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Simplifying (6x2 + 3x + -8) + -1(6x2 + 5x + 5) = 0 Reorder the terms: (-8 + 3x + 6x2) + -1(6x2 + 5x + 5) = 0 Remove parenthesis around (-8 + 3x + 6x2) -8 + 3x + 6x2 + -1(6x2 + 5x + 5) = 0 Reorder the terms: -8 + 3x + 6x2 + -1(5 + 5x + 6x2) = 0 -8 + 3x + 6x2 + (5 * -1 + 5x * -1 + 6x2 * -1) = 0 -8 + 3x + 6x2 + (-5 + -5x + -6x2) = 0 Reorder the terms: -8 + -5 + 3x + -5x + 6x2 + -6x2 = 0 Combine like terms: -8 + -5 = -13 -13 + 3x + -5x + 6x2 + -6x2 = 0 Combine like terms: 3x + -5x = -2x -13 + -2x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 -13 + -2x + 0 = 0 -13 + -2x = 0 Solving -13 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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