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Simplifying -6[x + -2] + 4[3 + -6x] = -36 Reorder the terms: -6[-2 + x] + 4[3 + -6x] = -36 [-2 * -6 + x * -6] + 4[3 + -6x] = -36 [12 + -6x] + 4[3 + -6x] = -36 12 + -6x + [3 * 4 + -6x * 4] = -36 12 + -6x + [12 + -24x] = -36 Reorder the terms: 12 + 12 + -6x + -24x = -36 Combine like terms: 12 + 12 = 24 24 + -6x + -24x = -36 Combine like terms: -6x + -24x = -30x 24 + -30x = -36 Solving 24 + -30x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -30x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -30x = -36 + -24 -30x = -36 + -24 Combine like terms: -36 + -24 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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