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Simplifying 9(x + 1) + 5(x + 1) = 5x + -5 Reorder the terms: 9(1 + x) + 5(x + 1) = 5x + -5 (1 * 9 + x * 9) + 5(x + 1) = 5x + -5 (9 + 9x) + 5(x + 1) = 5x + -5 Reorder the terms: 9 + 9x + 5(1 + x) = 5x + -5 9 + 9x + (1 * 5 + x * 5) = 5x + -5 9 + 9x + (5 + 5x) = 5x + -5 Reorder the terms: 9 + 5 + 9x + 5x = 5x + -5 Combine like terms: 9 + 5 = 14 14 + 9x + 5x = 5x + -5 Combine like terms: 9x + 5x = 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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