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Simplifying 9(x + 2) = 5[11 + -2(2 + -1x) + x] Reorder the terms: 9(2 + x) = 5[11 + -2(2 + -1x) + x] (2 * 9 + x * 9) = 5[11 + -2(2 + -1x) + x] (18 + 9x) = 5[11 + -2(2 + -1x) + x] 18 + 9x = 5[11 + (2 * -2 + -1x * -2) + x] 18 + 9x = 5[11 + (-4 + 2x) + x] Combine like terms: 11 + -4 = 7 18 + 9x = 5[7 + 2x + x] Combine like terms: 2x + x = 3x 18 + 9x = 5[7 + 3x] 18 + 9x = [7 * 5 + 3x * 5] 18 + 9x = [35 + 15x] Solving 18 + 9x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 9x + -15x = 35 + 15x + -15x Combine like terms: 9x + -15x = -6x 18 + -6x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -6x = 35 + 0 18 + -6x = 35 Add '-18' to each side of the equation. 18 + -18 + -6x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 35 + -18 -6x = 35 + -18 Combine like terms: 35 + -18 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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