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