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Simplifying 7(x + 1) = 5(x + -1) Reorder the terms: 7(1 + x) = 5(x + -1) (1 * 7 + x * 7) = 5(x + -1) (7 + 7x) = 5(x + -1) Reorder the terms: 7 + 7x = 5(-1 + x) 7 + 7x = (-1 * 5 + x * 5) 7 + 7x = (-5 + 5x) Solving 7 + 7x = -5 + 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. 7 + 7x + -5x = -5 + 5x + -5x Combine like terms: 7x + -5x = 2x 7 + 2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 2x = -5 + 0 7 + 2x = -5 Add '-7' to each side of the equation. 7 + -7 + 2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -5 + -7 2x = -5 + -7 Combine like terms: -5 + -7 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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