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Simplifying 3x + 6(2x + 6) = -114 Reorder the terms: 3x + 6(6 + 2x) = -114 3x + (6 * 6 + 2x * 6) = -114 3x + (36 + 12x) = -114 Reorder the terms: 36 + 3x + 12x = -114 Combine like terms: 3x + 12x = 15x 36 + 15x = -114 Solving 36 + 15x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 15x = -114 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = -114 + -36 15x = -114 + -36 Combine like terms: -114 + -36 = -150 15x = -150 Divide each side by '15'. x = -10 Simplifying x = -10
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