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Simplifying -3(2x + -13) = 5x + -27 Reorder the terms: -3(-13 + 2x) = 5x + -27 (-13 * -3 + 2x * -3) = 5x + -27 (39 + -6x) = 5x + -27 Reorder the terms: 39 + -6x = -27 + 5x Solving 39 + -6x = -27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 39 + -6x + -5x = -27 + 5x + -5x Combine like terms: -6x + -5x = -11x 39 + -11x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -11x = -27 + 0 39 + -11x = -27 Add '-39' to each side of the equation. 39 + -39 + -11x = -27 + -39 Combine like terms: 39 + -39 = 0 0 + -11x = -27 + -39 -11x = -27 + -39 Combine like terms: -27 + -39 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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