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Simplifying -54 = 6(1 + -2x) -54 = (1 * 6 + -2x * 6) -54 = (6 + -12x) Solving -54 = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -54 + 12x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -54 + 12x = 6 + 0 -54 + 12x = 6 Add '54' to each side of the equation. -54 + 54 + 12x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 12x = 6 + 54 12x = 6 + 54 Combine like terms: 6 + 54 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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