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Simplifying 9x + -2 = -5(x + 1) + -11 Reorder the terms: -2 + 9x = -5(x + 1) + -11 Reorder the terms: -2 + 9x = -5(1 + x) + -11 -2 + 9x = (1 * -5 + x * -5) + -11 -2 + 9x = (-5 + -5x) + -11 Reorder the terms: -2 + 9x = -5 + -11 + -5x Combine like terms: -5 + -11 = -16 -2 + 9x = -16 + -5x Solving -2 + 9x = -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 + 9x + 5x = -16 + -5x + 5x Combine like terms: 9x + 5x = 14x -2 + 14x = -16 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 14x = -16 + 0 -2 + 14x = -16 Add '2' to each side of the equation. -2 + 2 + 14x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = -16 + 2 14x = -16 + 2 Combine like terms: -16 + 2 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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