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Simplifying 5(3x + 6) = -45 Reorder the terms: 5(6 + 3x) = -45 (6 * 5 + 3x * 5) = -45 (30 + 15x) = -45 Solving 30 + 15x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15x = -45 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = -45 + -30 15x = -45 + -30 Combine like terms: -45 + -30 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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