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Simplifying x + -3[(x + -3) + (2x + 9)] = 9[9 + (3x + 2)] Reorder the terms: x + -3[(-3 + x) + (2x + 9)] = 9[9 + (3x + 2)] Remove parenthesis around (-3 + x) x + -3[-3 + x + (2x + 9)] = 9[9 + (3x + 2)] Reorder the terms: x + -3[-3 + x + (9 + 2x)] = 9[9 + (3x + 2)] Remove parenthesis around (9 + 2x) x + -3[-3 + x + 9 + 2x] = 9[9 + (3x + 2)] Reorder the terms: x + -3[-3 + 9 + x + 2x] = 9[9 + (3x + 2)] Combine like terms: -3 + 9 = 6 x + -3[6 + x + 2x] = 9[9 + (3x + 2)] Combine like terms: x + 2x = 3x x + -3[6 + 3x] = 9[9 + (3x + 2)] x + [6 * -3 + 3x * -3] = 9[9 + (3x + 2)] x + [-18 + -9x] = 9[9 + (3x + 2)] Reorder the terms: -18 + x + -9x = 9[9 + (3x + 2)] Combine like terms: x + -9x = -8x -18 + -8x = 9[9 + (3x + 2)] Reorder the terms: -18 + -8x = 9[9 + (2 + 3x)] Remove parenthesis around (2 + 3x) -18 + -8x = 9[9 + 2 + 3x] Combine like terms: 9 + 2 = 11 -18 + -8x = 9[11 + 3x] -18 + -8x = [11 * 9 + 3x * 9] -18 + -8x = [99 + 27x] Solving -18 + -8x = 99 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -18 + -8x + -27x = 99 + 27x + -27x Combine like terms: -8x + -27x = -35x -18 + -35x = 99 + 27x + -27x Combine like terms: 27x + -27x = 0 -18 + -35x = 99 + 0 -18 + -35x = 99 Add '18' to each side of the equation. -18 + 18 + -35x = 99 + 18 Combine like terms: -18 + 18 = 0 0 + -35x = 99 + 18 -35x = 99 + 18 Combine like terms: 99 + 18 = 117 -35x = 117 Divide each side by '-35'. x = -3.342857143 Simplifying x = -3.342857143
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