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Simplifying 7(x + 1) + 7(x + 1) = 5x + -5 Reorder the terms: 7(1 + x) + 7(x + 1) = 5x + -5 (1 * 7 + x * 7) + 7(x + 1) = 5x + -5 (7 + 7x) + 7(x + 1) = 5x + -5 Reorder the terms: 7 + 7x + 7(1 + x) = 5x + -5 7 + 7x + (1 * 7 + x * 7) = 5x + -5 7 + 7x + (7 + 7x) = 5x + -5 Reorder the terms: 7 + 7 + 7x + 7x = 5x + -5 Combine like terms: 7 + 7 = 14 14 + 7x + 7x = 5x + -5 Combine like terms: 7x + 7x = 14x 14 + 14x = 5x + -5 Reorder the terms: 14 + 14x = -5 + 5x Solving 14 + 14x = -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. 14 + 14x + -5x = -5 + 5x + -5x Combine like terms: 14x + -5x = 9x 14 + 9x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 9x = -5 + 0 14 + 9x = -5 Add '-14' to each side of the equation. 14 + -14 + 9x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = -5 + -14 9x = -5 + -14 Combine like terms: -5 + -14 = -19 9x = -19 Divide each side by '9'. x = -2.111111111 Simplifying x = -2.111111111
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