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Simplifying 3(x + 1) + -1(x + -2) = -11 Reorder the terms: 3(1 + x) + -1(x + -2) = -11 (1 * 3 + x * 3) + -1(x + -2) = -11 (3 + 3x) + -1(x + -2) = -11 Reorder the terms: 3 + 3x + -1(-2 + x) = -11 3 + 3x + (-2 * -1 + x * -1) = -11 3 + 3x + (2 + -1x) = -11 Reorder the terms: 3 + 2 + 3x + -1x = -11 Combine like terms: 3 + 2 = 5 5 + 3x + -1x = -11 Combine like terms: 3x + -1x = 2x 5 + 2x = -11 Solving 5 + 2x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -11 + -5 2x = -11 + -5 Combine like terms: -11 + -5 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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