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Simplifying 2[6 + -1(-3x + -6)] = 30x + 72 Reorder the terms: 2[6 + -1(-6 + -3x)] = 30x + 72 2[6 + (-6 * -1 + -3x * -1)] = 30x + 72 2[6 + (6 + 3x)] = 30x + 72 Combine like terms: 6 + 6 = 12 2[12 + 3x] = 30x + 72 [12 * 2 + 3x * 2] = 30x + 72 [24 + 6x] = 30x + 72 Reorder the terms: 24 + 6x = 72 + 30x Solving 24 + 6x = 72 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 24 + 6x + -30x = 72 + 30x + -30x Combine like terms: 6x + -30x = -24x 24 + -24x = 72 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + -24x = 72 + 0 24 + -24x = 72 Add '-24' to each side of the equation. 24 + -24 + -24x = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 72 + -24 -24x = 72 + -24 Combine like terms: 72 + -24 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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