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Simplifying (9x2 + 6x + 3) + -1(9x2 + 4) = 8x + 16 Reorder the terms: (3 + 6x + 9x2) + -1(9x2 + 4) = 8x + 16 Remove parenthesis around (3 + 6x + 9x2) 3 + 6x + 9x2 + -1(9x2 + 4) = 8x + 16 Reorder the terms: 3 + 6x + 9x2 + -1(4 + 9x2) = 8x + 16 3 + 6x + 9x2 + (4 * -1 + 9x2 * -1) = 8x + 16 3 + 6x + 9x2 + (-4 + -9x2) = 8x + 16 Reorder the terms: 3 + -4 + 6x + 9x2 + -9x2 = 8x + 16 Combine like terms: 3 + -4 = -1 -1 + 6x + 9x2 + -9x2 = 8x + 16 Combine like terms: 9x2 + -9x2 = 0 -1 + 6x + 0 = 8x + 16 -1 + 6x = 8x + 16 Reorder the terms: -1 + 6x = 16 + 8x Solving -1 + 6x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x -1 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -2x = 16 + 0 -1 + -2x = 16 Add '1' to each side of the equation. -1 + 1 + -2x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 16 + 1 -2x = 16 + 1 Combine like terms: 16 + 1 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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