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Simplifying 3(x + 27) = -24x + -6 Reorder the terms: 3(27 + x) = -24x + -6 (27 * 3 + x * 3) = -24x + -6 (81 + 3x) = -24x + -6 Reorder the terms: 81 + 3x = -6 + -24x Solving 81 + 3x = -6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 81 + 3x + 24x = -6 + -24x + 24x Combine like terms: 3x + 24x = 27x 81 + 27x = -6 + -24x + 24x Combine like terms: -24x + 24x = 0 81 + 27x = -6 + 0 81 + 27x = -6 Add '-81' to each side of the equation. 81 + -81 + 27x = -6 + -81 Combine like terms: 81 + -81 = 0 0 + 27x = -6 + -81 27x = -6 + -81 Combine like terms: -6 + -81 = -87 27x = -87 Divide each side by '27'. x = -3.222222222 Simplifying x = -3.222222222
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