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Simplifying 3[9 + -1(-3x + -6)] = 81x + 189 Reorder the terms: 3[9 + -1(-6 + -3x)] = 81x + 189 3[9 + (-6 * -1 + -3x * -1)] = 81x + 189 3[9 + (6 + 3x)] = 81x + 189 Combine like terms: 9 + 6 = 15 3[15 + 3x] = 81x + 189 [15 * 3 + 3x * 3] = 81x + 189 [45 + 9x] = 81x + 189 Reorder the terms: 45 + 9x = 189 + 81x Solving 45 + 9x = 189 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 45 + 9x + -81x = 189 + 81x + -81x Combine like terms: 9x + -81x = -72x 45 + -72x = 189 + 81x + -81x Combine like terms: 81x + -81x = 0 45 + -72x = 189 + 0 45 + -72x = 189 Add '-45' to each side of the equation. 45 + -45 + -72x = 189 + -45 Combine like terms: 45 + -45 = 0 0 + -72x = 189 + -45 -72x = 189 + -45 Combine like terms: 189 + -45 = 144 -72x = 144 Divide each side by '-72'. x = -2 Simplifying x = -2
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