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Simplifying 3(5x + -2) + 27 = -24 Reorder the terms: 3(-2 + 5x) + 27 = -24 (-2 * 3 + 5x * 3) + 27 = -24 (-6 + 15x) + 27 = -24 Reorder the terms: -6 + 27 + 15x = -24 Combine like terms: -6 + 27 = 21 21 + 15x = -24 Solving 21 + 15x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 15x = -24 + -21 15x = -24 + -21 Combine like terms: -24 + -21 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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