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Simplifying -5(x + 1) + -11 = 27 + 2 Reorder the terms: -5(1 + x) + -11 = 27 + 2 (1 * -5 + x * -5) + -11 = 27 + 2 (-5 + -5x) + -11 = 27 + 2 Reorder the terms: -5 + -11 + -5x = 27 + 2 Combine like terms: -5 + -11 = -16 -16 + -5x = 27 + 2 Combine like terms: 27 + 2 = 29 -16 + -5x = 29 Solving -16 + -5x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5x = 29 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 29 + 16 -5x = 29 + 16 Combine like terms: 29 + 16 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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