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Simplifying 4[9 + -1(-3x + -6)] = 36x + 108 Reorder the terms: 4[9 + -1(-6 + -3x)] = 36x + 108 4[9 + (-6 * -1 + -3x * -1)] = 36x + 108 4[9 + (6 + 3x)] = 36x + 108 Combine like terms: 9 + 6 = 15 4[15 + 3x] = 36x + 108 [15 * 4 + 3x * 4] = 36x + 108 [60 + 12x] = 36x + 108 Reorder the terms: 60 + 12x = 108 + 36x Solving 60 + 12x = 108 + 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. 60 + 12x + -36x = 108 + 36x + -36x Combine like terms: 12x + -36x = -24x 60 + -24x = 108 + 36x + -36x Combine like terms: 36x + -36x = 0 60 + -24x = 108 + 0 60 + -24x = 108 Add '-60' to each side of the equation. 60 + -60 + -24x = 108 + -60 Combine like terms: 60 + -60 = 0 0 + -24x = 108 + -60 -24x = 108 + -60 Combine like terms: 108 + -60 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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