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Simplifying 3(x + 6) + 5x + 1 = 0 Reorder the terms: 3(6 + x) + 5x + 1 = 0 (6 * 3 + x * 3) + 5x + 1 = 0 (18 + 3x) + 5x + 1 = 0 Reorder the terms: 18 + 1 + 3x + 5x = 0 Combine like terms: 18 + 1 = 19 19 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 19 + 8x = 0 Solving 19 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 0 + -19 8x = 0 + -19 Combine like terms: 0 + -19 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375
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