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Simplifying 6[1 + -1(-3x + -1)] = 54x + 24 Reorder the terms: 6[1 + -1(-1 + -3x)] = 54x + 24 6[1 + (-1 * -1 + -3x * -1)] = 54x + 24 6[1 + (1 + 3x)] = 54x + 24 Combine like terms: 1 + 1 = 2 6[2 + 3x] = 54x + 24 [2 * 6 + 3x * 6] = 54x + 24 [12 + 18x] = 54x + 24 Reorder the terms: 12 + 18x = 24 + 54x Solving 12 + 18x = 24 + 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. 12 + 18x + -54x = 24 + 54x + -54x Combine like terms: 18x + -54x = -36x 12 + -36x = 24 + 54x + -54x Combine like terms: 54x + -54x = 0 12 + -36x = 24 + 0 12 + -36x = 24 Add '-12' to each side of the equation. 12 + -12 + -36x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -36x = 24 + -12 -36x = 24 + -12 Combine like terms: 24 + -12 = 12 -36x = 12 Divide each side by '-36'. x = -0.3333333333 Simplifying x = -0.3333333333
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