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Simplifying (8x2 + 6x + 2) + -1(8x2 + 3) = 9x + 9 Reorder the terms: (2 + 6x + 8x2) + -1(8x2 + 3) = 9x + 9 Remove parenthesis around (2 + 6x + 8x2) 2 + 6x + 8x2 + -1(8x2 + 3) = 9x + 9 Reorder the terms: 2 + 6x + 8x2 + -1(3 + 8x2) = 9x + 9 2 + 6x + 8x2 + (3 * -1 + 8x2 * -1) = 9x + 9 2 + 6x + 8x2 + (-3 + -8x2) = 9x + 9 Reorder the terms: 2 + -3 + 6x + 8x2 + -8x2 = 9x + 9 Combine like terms: 2 + -3 = -1 -1 + 6x + 8x2 + -8x2 = 9x + 9 Combine like terms: 8x2 + -8x2 = 0 -1 + 6x + 0 = 9x + 9 -1 + 6x = 9x + 9 Reorder the terms: -1 + 6x = 9 + 9x Solving -1 + 6x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 6x + -9x = 9 + 9x + -9x Combine like terms: 6x + -9x = -3x -1 + -3x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -3x = 9 + 0 -1 + -3x = 9 Add '1' to each side of the equation. -1 + 1 + -3x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 9 + 1 -3x = 9 + 1 Combine like terms: 9 + 1 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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