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Simplifying 9[3 + -1(-4x + -6)] = 252x + 405 Reorder the terms: 9[3 + -1(-6 + -4x)] = 252x + 405 9[3 + (-6 * -1 + -4x * -1)] = 252x + 405 9[3 + (6 + 4x)] = 252x + 405 Combine like terms: 3 + 6 = 9 9[9 + 4x] = 252x + 405 [9 * 9 + 4x * 9] = 252x + 405 [81 + 36x] = 252x + 405 Reorder the terms: 81 + 36x = 405 + 252x Solving 81 + 36x = 405 + 252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-252x' to each side of the equation. 81 + 36x + -252x = 405 + 252x + -252x Combine like terms: 36x + -252x = -216x 81 + -216x = 405 + 252x + -252x Combine like terms: 252x + -252x = 0 81 + -216x = 405 + 0 81 + -216x = 405 Add '-81' to each side of the equation. 81 + -81 + -216x = 405 + -81 Combine like terms: 81 + -81 = 0 0 + -216x = 405 + -81 -216x = 405 + -81 Combine like terms: 405 + -81 = 324 -216x = 324 Divide each side by '-216'. x = -1.5 Simplifying x = -1.5
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