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Simplifying -89 = 6(1 + -2x) + 1 -89 = (1 * 6 + -2x * 6) + 1 -89 = (6 + -12x) + 1 Reorder the terms: -89 = 6 + 1 + -12x Combine like terms: 6 + 1 = 7 -89 = 7 + -12x Solving -89 = 7 + -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. -89 + 12x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 -89 + 12x = 7 + 0 -89 + 12x = 7 Add '89' to each side of the equation. -89 + 89 + 12x = 7 + 89 Combine like terms: -89 + 89 = 0 0 + 12x = 7 + 89 12x = 7 + 89 Combine like terms: 7 + 89 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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