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Simplifying 4[5 + -1(-3x + -6)] = 36x + 92 Reorder the terms: 4[5 + -1(-6 + -3x)] = 36x + 92 4[5 + (-6 * -1 + -3x * -1)] = 36x + 92 4[5 + (6 + 3x)] = 36x + 92 Combine like terms: 5 + 6 = 11 4[11 + 3x] = 36x + 92 [11 * 4 + 3x * 4] = 36x + 92 [44 + 12x] = 36x + 92 Reorder the terms: 44 + 12x = 92 + 36x Solving 44 + 12x = 92 + 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. 44 + 12x + -36x = 92 + 36x + -36x Combine like terms: 12x + -36x = -24x 44 + -24x = 92 + 36x + -36x Combine like terms: 36x + -36x = 0 44 + -24x = 92 + 0 44 + -24x = 92 Add '-44' to each side of the equation. 44 + -44 + -24x = 92 + -44 Combine like terms: 44 + -44 = 0 0 + -24x = 92 + -44 -24x = 92 + -44 Combine like terms: 92 + -44 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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