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Simplifying 9(x + 2) = [11 + -2(2 + -1x) + 3] Reorder the terms: 9(2 + x) = [11 + -2(2 + -1x) + 3] (2 * 9 + x * 9) = [11 + -2(2 + -1x) + 3] (18 + 9x) = [11 + -2(2 + -1x) + 3] 18 + 9x = [11 + (2 * -2 + -1x * -2) + 3] 18 + 9x = [11 + (-4 + 2x) + 3] Reorder the terms: 18 + 9x = [11 + -4 + 3 + 2x] Combine like terms: 11 + -4 = 7 18 + 9x = [7 + 3 + 2x] Combine like terms: 7 + 3 = 10 18 + 9x = [10 + 2x] Remove brackets around [10 + 2x] 18 + 9x = 10 + 2x Solving 18 + 9x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 9x + -2x = 10 + 2x + -2x Combine like terms: 9x + -2x = 7x 18 + 7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 7x = 10 + 0 18 + 7x = 10 Add '-18' to each side of the equation. 18 + -18 + 7x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 10 + -18 7x = 10 + -18 Combine like terms: 10 + -18 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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