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Simplifying 6(1 + -1(-3x + -9)) = 54x + 168 Reorder the terms: 6(1 + -1(-9 + -3x)) = 54x + 168 6(1 + (-9 * -1 + -3x * -1)) = 54x + 168 6(1 + (9 + 3x)) = 54x + 168 Combine like terms: 1 + 9 = 10 6(10 + 3x) = 54x + 168 (10 * 6 + 3x * 6) = 54x + 168 (60 + 18x) = 54x + 168 Reorder the terms: 60 + 18x = 168 + 54x Solving 60 + 18x = 168 + 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. 60 + 18x + -54x = 168 + 54x + -54x Combine like terms: 18x + -54x = -36x 60 + -36x = 168 + 54x + -54x Combine like terms: 54x + -54x = 0 60 + -36x = 168 + 0 60 + -36x = 168 Add '-60' to each side of the equation. 60 + -60 + -36x = 168 + -60 Combine like terms: 60 + -60 = 0 0 + -36x = 168 + -60 -36x = 168 + -60 Combine like terms: 168 + -60 = 108 -36x = 108 Divide each side by '-36'. x = -3 Simplifying x = -3
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