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Simplifying 11(x + 2) + -4 = 3 + -1[4 + 2(x + -3)] Reorder the terms: 11(2 + x) + -4 = 3 + -1[4 + 2(x + -3)] (2 * 11 + x * 11) + -4 = 3 + -1[4 + 2(x + -3)] (22 + 11x) + -4 = 3 + -1[4 + 2(x + -3)] Reorder the terms: 22 + -4 + 11x = 3 + -1[4 + 2(x + -3)] Combine like terms: 22 + -4 = 18 18 + 11x = 3 + -1[4 + 2(x + -3)] Reorder the terms: 18 + 11x = 3 + -1[4 + 2(-3 + x)] 18 + 11x = 3 + -1[4 + (-3 * 2 + x * 2)] 18 + 11x = 3 + -1[4 + (-6 + 2x)] Combine like terms: 4 + -6 = -2 18 + 11x = 3 + -1[-2 + 2x] 18 + 11x = 3 + [-2 * -1 + 2x * -1] 18 + 11x = 3 + [2 + -2x] Combine like terms: 3 + 2 = 5 18 + 11x = 5 + -2x Solving 18 + 11x = 5 + -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 + 11x + 2x = 5 + -2x + 2x Combine like terms: 11x + 2x = 13x 18 + 13x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 13x = 5 + 0 18 + 13x = 5 Add '-18' to each side of the equation. 18 + -18 + 13x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 13x = 5 + -18 13x = 5 + -18 Combine like terms: 5 + -18 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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