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Simplifying 11 + x = -1(7x + 5) Reorder the terms: 11 + x = -1(5 + 7x) 11 + x = (5 * -1 + 7x * -1) 11 + x = (-5 + -7x) Solving 11 + x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 11 + x + 7x = -5 + -7x + 7x Combine like terms: x + 7x = 8x 11 + 8x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 8x = -5 + 0 11 + 8x = -5 Add '-11' to each side of the equation. 11 + -11 + 8x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = -5 + -11 8x = -5 + -11 Combine like terms: -5 + -11 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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