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Simplifying 2x + 11 = -38 + -5x Reorder the terms: 11 + 2x = -38 + -5x Solving 11 + 2x = -38 + -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. 11 + 2x + 5x = -38 + -5x + 5x Combine like terms: 2x + 5x = 7x 11 + 7x = -38 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 7x = -38 + 0 11 + 7x = -38 Add '-11' to each side of the equation. 11 + -11 + 7x = -38 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = -38 + -11 7x = -38 + -11 Combine like terms: -38 + -11 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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