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Simplifying 54 = 6(1 + -5x) + 6(1 + -2x) 54 = (1 * 6 + -5x * 6) + 6(1 + -2x) 54 = (6 + -30x) + 6(1 + -2x) 54 = 6 + -30x + (1 * 6 + -2x * 6) 54 = 6 + -30x + (6 + -12x) Reorder the terms: 54 = 6 + 6 + -30x + -12x Combine like terms: 6 + 6 = 12 54 = 12 + -30x + -12x Combine like terms: -30x + -12x = -42x 54 = 12 + -42x Solving 54 = 12 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 54 + 42x = 12 + -42x + 42x Combine like terms: -42x + 42x = 0 54 + 42x = 12 + 0 54 + 42x = 12 Add '-54' to each side of the equation. 54 + -54 + 42x = 12 + -54 Combine like terms: 54 + -54 = 0 0 + 42x = 12 + -54 42x = 12 + -54 Combine like terms: 12 + -54 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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