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Simplifying 5(x + 1) = -7(3 + -1) Reorder the terms: 5(1 + x) = -7(3 + -1) (1 * 5 + x * 5) = -7(3 + -1) (5 + 5x) = -7(3 + -1) Combine like terms: 3 + -1 = 2 5 + 5x = -7(2) Multiply -7 * 2 5 + 5x = -14 Solving 5 + 5x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -14 + -5 5x = -14 + -5 Combine like terms: -14 + -5 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8
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