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Simplifying 2(x + 1) = 5(x + -1) + -11 Reorder the terms: 2(1 + x) = 5(x + -1) + -11 (1 * 2 + x * 2) = 5(x + -1) + -11 (2 + 2x) = 5(x + -1) + -11 Reorder the terms: 2 + 2x = 5(-1 + x) + -11 2 + 2x = (-1 * 5 + x * 5) + -11 2 + 2x = (-5 + 5x) + -11 Reorder the terms: 2 + 2x = -5 + -11 + 5x Combine like terms: -5 + -11 = -16 2 + 2x = -16 + 5x Solving 2 + 2x = -16 + 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 + 2x + -5x = -16 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = -16 + 0 2 + -3x = -16 Add '-2' to each side of the equation. 2 + -2 + -3x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -16 + -2 -3x = -16 + -2 Combine like terms: -16 + -2 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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