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Simplifying 7x + 1 = -5x + -11 Reorder the terms: 1 + 7x = -5x + -11 Reorder the terms: 1 + 7x = -11 + -5x Solving 1 + 7x = -11 + -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. 1 + 7x + 5x = -11 + -5x + 5x Combine like terms: 7x + 5x = 12x 1 + 12x = -11 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 12x = -11 + 0 1 + 12x = -11 Add '-1' to each side of the equation. 1 + -1 + 12x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = -11 + -1 12x = -11 + -1 Combine like terms: -11 + -1 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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