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Simplifying 9(9 + (3x + 2)) = x + -3((x + -3) + (2x + 9)) Reorder the terms: 9(9 + (2 + 3x)) = x + -3((x + -3) + (2x + 9)) Remove parenthesis around (2 + 3x) 9(9 + 2 + 3x) = x + -3((x + -3) + (2x + 9)) Combine like terms: 9 + 2 = 11 9(11 + 3x) = x + -3((x + -3) + (2x + 9)) (11 * 9 + 3x * 9) = x + -3((x + -3) + (2x + 9)) (99 + 27x) = x + -3((x + -3) + (2x + 9)) Reorder the terms: 99 + 27x = x + -3((-3 + x) + (2x + 9)) Remove parenthesis around (-3 + x) 99 + 27x = x + -3(-3 + x + (2x + 9)) Reorder the terms: 99 + 27x = x + -3(-3 + x + (9 + 2x)) Remove parenthesis around (9 + 2x) 99 + 27x = x + -3(-3 + x + 9 + 2x) Reorder the terms: 99 + 27x = x + -3(-3 + 9 + x + 2x) Combine like terms: -3 + 9 = 6 99 + 27x = x + -3(6 + x + 2x) Combine like terms: x + 2x = 3x 99 + 27x = x + -3(6 + 3x) 99 + 27x = x + (6 * -3 + 3x * -3) 99 + 27x = x + (-18 + -9x) Reorder the terms: 99 + 27x = -18 + x + -9x Combine like terms: x + -9x = -8x 99 + 27x = -18 + -8x Solving 99 + 27x = -18 + -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. 99 + 27x + 8x = -18 + -8x + 8x Combine like terms: 27x + 8x = 35x 99 + 35x = -18 + -8x + 8x Combine like terms: -8x + 8x = 0 99 + 35x = -18 + 0 99 + 35x = -18 Add '-99' to each side of the equation. 99 + -99 + 35x = -18 + -99 Combine like terms: 99 + -99 = 0 0 + 35x = -18 + -99 35x = -18 + -99 Combine like terms: -18 + -99 = -117 35x = -117 Divide each side by '35'. x = -3.342857143 Simplifying x = -3.342857143
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