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Simplifying -6(x + 6) = 5x + 30 Reorder the terms: -6(6 + x) = 5x + 30 (6 * -6 + x * -6) = 5x + 30 (-36 + -6x) = 5x + 30 Reorder the terms: -36 + -6x = 30 + 5x Solving -36 + -6x = 30 + 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. -36 + -6x + -5x = 30 + 5x + -5x Combine like terms: -6x + -5x = -11x -36 + -11x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + -11x = 30 + 0 -36 + -11x = 30 Add '36' to each side of the equation. -36 + 36 + -11x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -11x = 30 + 36 -11x = 30 + 36 Combine like terms: 30 + 36 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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