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Simplifying 7(x + 3) + 5(x + -1) = -8 Reorder the terms: 7(3 + x) + 5(x + -1) = -8 (3 * 7 + x * 7) + 5(x + -1) = -8 (21 + 7x) + 5(x + -1) = -8 Reorder the terms: 21 + 7x + 5(-1 + x) = -8 21 + 7x + (-1 * 5 + x * 5) = -8 21 + 7x + (-5 + 5x) = -8 Reorder the terms: 21 + -5 + 7x + 5x = -8 Combine like terms: 21 + -5 = 16 16 + 7x + 5x = -8 Combine like terms: 7x + 5x = 12x 16 + 12x = -8 Solving 16 + 12x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = -8 + -16 12x = -8 + -16 Combine like terms: -8 + -16 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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