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Simplifying 11x + 2(x + 1) = 5x + -6 Reorder the terms: 11x + 2(1 + x) = 5x + -6 11x + (1 * 2 + x * 2) = 5x + -6 11x + (2 + 2x) = 5x + -6 Reorder the terms: 2 + 11x + 2x = 5x + -6 Combine like terms: 11x + 2x = 13x 2 + 13x = 5x + -6 Reorder the terms: 2 + 13x = -6 + 5x Solving 2 + 13x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 13x + -5x = -6 + 5x + -5x Combine like terms: 13x + -5x = 8x 2 + 8x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 8x = -6 + 0 2 + 8x = -6 Add '-2' to each side of the equation. 2 + -2 + 8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -6 + -2 8x = -6 + -2 Combine like terms: -6 + -2 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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