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Simplifying 2[3 + -1(-9x + -6)] = 54x + 42 Reorder the terms: 2[3 + -1(-6 + -9x)] = 54x + 42 2[3 + (-6 * -1 + -9x * -1)] = 54x + 42 2[3 + (6 + 9x)] = 54x + 42 Combine like terms: 3 + 6 = 9 2[9 + 9x] = 54x + 42 [9 * 2 + 9x * 2] = 54x + 42 [18 + 18x] = 54x + 42 Reorder the terms: 18 + 18x = 42 + 54x Solving 18 + 18x = 42 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 18 + 18x + -54x = 42 + 54x + -54x Combine like terms: 18x + -54x = -36x 18 + -36x = 42 + 54x + -54x Combine like terms: 54x + -54x = 0 18 + -36x = 42 + 0 18 + -36x = 42 Add '-18' to each side of the equation. 18 + -18 + -36x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -36x = 42 + -18 -36x = 42 + -18 Combine like terms: 42 + -18 = 24 -36x = 24 Divide each side by '-36'. x = -0.6666666667 Simplifying x = -0.6666666667
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