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Simplifying 5(2 + 3(x + 1)) = 0 Reorder the terms: 5(2 + 3(1 + x)) = 0 5(2 + (1 * 3 + x * 3)) = 0 5(2 + (3 + 3x)) = 0 Combine like terms: 2 + 3 = 5 5(5 + 3x) = 0 (5 * 5 + 3x * 5) = 0 (25 + 15x) = 0 Solving 25 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 15x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 15x = 0 + -25 15x = 0 + -25 Combine like terms: 0 + -25 = -25 15x = -25 Divide each side by '15'. x = -1.666666667 Simplifying x = -1.666666667
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