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Simplifying 4[x + 2(x + -1)] = 11(x + -1) + -3 Reorder the terms: 4[x + 2(-1 + x)] = 11(x + -1) + -3 4[x + (-1 * 2 + x * 2)] = 11(x + -1) + -3 4[x + (-2 + 2x)] = 11(x + -1) + -3 Reorder the terms: 4[-2 + x + 2x] = 11(x + -1) + -3 Combine like terms: x + 2x = 3x 4[-2 + 3x] = 11(x + -1) + -3 [-2 * 4 + 3x * 4] = 11(x + -1) + -3 [-8 + 12x] = 11(x + -1) + -3 Reorder the terms: -8 + 12x = 11(-1 + x) + -3 -8 + 12x = (-1 * 11 + x * 11) + -3 -8 + 12x = (-11 + 11x) + -3 Reorder the terms: -8 + 12x = -11 + -3 + 11x Combine like terms: -11 + -3 = -14 -8 + 12x = -14 + 11x Solving -8 + 12x = -14 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -8 + 12x + -11x = -14 + 11x + -11x Combine like terms: 12x + -11x = 1x -8 + 1x = -14 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 1x = -14 + 0 -8 + 1x = -14 Add '8' to each side of the equation. -8 + 8 + 1x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -14 + 8 1x = -14 + 8 Combine like terms: -14 + 8 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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