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Simplifying 5[6 + -1(-2x + -6)] = 54x + 126 Reorder the terms: 5[6 + -1(-6 + -2x)] = 54x + 126 5[6 + (-6 * -1 + -2x * -1)] = 54x + 126 5[6 + (6 + 2x)] = 54x + 126 Combine like terms: 6 + 6 = 12 5[12 + 2x] = 54x + 126 [12 * 5 + 2x * 5] = 54x + 126 [60 + 10x] = 54x + 126 Reorder the terms: 60 + 10x = 126 + 54x Solving 60 + 10x = 126 + 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 + 10x + -54x = 126 + 54x + -54x Combine like terms: 10x + -54x = -44x 60 + -44x = 126 + 54x + -54x Combine like terms: 54x + -54x = 0 60 + -44x = 126 + 0 60 + -44x = 126 Add '-60' to each side of the equation. 60 + -60 + -44x = 126 + -60 Combine like terms: 60 + -60 = 0 0 + -44x = 126 + -60 -44x = 126 + -60 Combine like terms: 126 + -60 = 66 -44x = 66 Divide each side by '-44'. x = -1.5 Simplifying x = -1.5
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