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Simplifying 11(x + -2) + 3[x + -3(x + 1)] = 0 Reorder the terms: 11(-2 + x) + 3[x + -3(x + 1)] = 0 (-2 * 11 + x * 11) + 3[x + -3(x + 1)] = 0 (-22 + 11x) + 3[x + -3(x + 1)] = 0 Reorder the terms: -22 + 11x + 3[x + -3(1 + x)] = 0 -22 + 11x + 3[x + (1 * -3 + x * -3)] = 0 -22 + 11x + 3[x + (-3 + -3x)] = 0 Reorder the terms: -22 + 11x + 3[-3 + x + -3x] = 0 Combine like terms: x + -3x = -2x -22 + 11x + 3[-3 + -2x] = 0 -22 + 11x + [-3 * 3 + -2x * 3] = 0 -22 + 11x + [-9 + -6x] = 0 Reorder the terms: -22 + -9 + 11x + -6x = 0 Combine like terms: -22 + -9 = -31 -31 + 11x + -6x = 0 Combine like terms: 11x + -6x = 5x -31 + 5x = 0 Solving -31 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 5x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 0 + 31 5x = 0 + 31 Combine like terms: 0 + 31 = 31 5x = 31 Divide each side by '5'. x = 6.2 Simplifying x = 6.2
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