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Simplifying 2[9 + -1(-3x + -6)] = 24x + 66 Reorder the terms: 2[9 + -1(-6 + -3x)] = 24x + 66 2[9 + (-6 * -1 + -3x * -1)] = 24x + 66 2[9 + (6 + 3x)] = 24x + 66 Combine like terms: 9 + 6 = 15 2[15 + 3x] = 24x + 66 [15 * 2 + 3x * 2] = 24x + 66 [30 + 6x] = 24x + 66 Reorder the terms: 30 + 6x = 66 + 24x Solving 30 + 6x = 66 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 30 + 6x + -24x = 66 + 24x + -24x Combine like terms: 6x + -24x = -18x 30 + -18x = 66 + 24x + -24x Combine like terms: 24x + -24x = 0 30 + -18x = 66 + 0 30 + -18x = 66 Add '-30' to each side of the equation. 30 + -30 + -18x = 66 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = 66 + -30 -18x = 66 + -30 Combine like terms: 66 + -30 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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