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Simplifying 5x + 7(x + 1) = -9 Reorder the terms: 5x + 7(1 + x) = -9 5x + (1 * 7 + x * 7) = -9 5x + (7 + 7x) = -9 Reorder the terms: 7 + 5x + 7x = -9 Combine like terms: 5x + 7x = 12x 7 + 12x = -9 Solving 7 + 12x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -9 + -7 12x = -9 + -7 Combine like terms: -9 + -7 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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