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Simplifying -81 = -9(4x + 1) Reorder the terms: -81 = -9(1 + 4x) -81 = (1 * -9 + 4x * -9) -81 = (-9 + -36x) Solving -81 = -9 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -81 + 36x = -9 + -36x + 36x Combine like terms: -36x + 36x = 0 -81 + 36x = -9 + 0 -81 + 36x = -9 Add '81' to each side of the equation. -81 + 81 + 36x = -9 + 81 Combine like terms: -81 + 81 = 0 0 + 36x = -9 + 81 36x = -9 + 81 Combine like terms: -9 + 81 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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