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Simplifying -5x + 11 = -7(x + -1) Reorder the terms: 11 + -5x = -7(x + -1) Reorder the terms: 11 + -5x = -7(-1 + x) 11 + -5x = (-1 * -7 + x * -7) 11 + -5x = (7 + -7x) Solving 11 + -5x = 7 + -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 + -5x + 7x = 7 + -7x + 7x Combine like terms: -5x + 7x = 2x 11 + 2x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 2x = 7 + 0 11 + 2x = 7 Add '-11' to each side of the equation. 11 + -11 + 2x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 7 + -11 2x = 7 + -11 Combine like terms: 7 + -11 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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