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Simplifying 3x + 8(3x + 1) = -100 Reorder the terms: 3x + 8(1 + 3x) = -100 3x + (1 * 8 + 3x * 8) = -100 3x + (8 + 24x) = -100 Reorder the terms: 8 + 3x + 24x = -100 Combine like terms: 3x + 24x = 27x 8 + 27x = -100 Solving 8 + 27x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 27x = -100 + -8 Combine like terms: 8 + -8 = 0 0 + 27x = -100 + -8 27x = -100 + -8 Combine like terms: -100 + -8 = -108 27x = -108 Divide each side by '27'. x = -4 Simplifying x = -4
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