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Simplifying 5x + 11 = -45 + -9x Reorder the terms: 11 + 5x = -45 + -9x Solving 11 + 5x = -45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 11 + 5x + 9x = -45 + -9x + 9x Combine like terms: 5x + 9x = 14x 11 + 14x = -45 + -9x + 9x Combine like terms: -9x + 9x = 0 11 + 14x = -45 + 0 11 + 14x = -45 Add '-11' to each side of the equation. 11 + -11 + 14x = -45 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = -45 + -11 14x = -45 + -11 Combine like terms: -45 + -11 = -56 14x = -56 Divide each side by '14'. x = -4 Simplifying x = -4
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