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Simplifying 11 + 2(1 + -1x) + -1(x + 1) = x + -1(x + -1) + 12 11 + (1 * 2 + -1x * 2) + -1(x + 1) = x + -1(x + -1) + 12 11 + (2 + -2x) + -1(x + 1) = x + -1(x + -1) + 12 Reorder the terms: 11 + 2 + -2x + -1(1 + x) = x + -1(x + -1) + 12 11 + 2 + -2x + (1 * -1 + x * -1) = x + -1(x + -1) + 12 11 + 2 + -2x + (-1 + -1x) = x + -1(x + -1) + 12 Reorder the terms: 11 + 2 + -1 + -2x + -1x = x + -1(x + -1) + 12 Combine like terms: 11 + 2 = 13 13 + -1 + -2x + -1x = x + -1(x + -1) + 12 Combine like terms: 13 + -1 = 12 12 + -2x + -1x = x + -1(x + -1) + 12 Combine like terms: -2x + -1x = -3x 12 + -3x = x + -1(x + -1) + 12 Reorder the terms: 12 + -3x = x + -1(-1 + x) + 12 12 + -3x = x + (-1 * -1 + x * -1) + 12 12 + -3x = x + (1 + -1x) + 12 Reorder the terms: 12 + -3x = 1 + 12 + x + -1x Combine like terms: 1 + 12 = 13 12 + -3x = 13 + x + -1x Combine like terms: x + -1x = 0 12 + -3x = 13 + 0 12 + -3x = 13 Solving 12 + -3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 13 + -12 -3x = 13 + -12 Combine like terms: 13 + -12 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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