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Simplifying 3(1 + 7x) + 9 = 9(-8 + x) (1 * 3 + 7x * 3) + 9 = 9(-8 + x) (3 + 21x) + 9 = 9(-8 + x) Reorder the terms: 3 + 9 + 21x = 9(-8 + x) Combine like terms: 3 + 9 = 12 12 + 21x = 9(-8 + x) 12 + 21x = (-8 * 9 + x * 9) 12 + 21x = (-72 + 9x) Solving 12 + 21x = -72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 21x + -9x = -72 + 9x + -9x Combine like terms: 21x + -9x = 12x 12 + 12x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 12x = -72 + 0 12 + 12x = -72 Add '-12' to each side of the equation. 12 + -12 + 12x = -72 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -72 + -12 12x = -72 + -12 Combine like terms: -72 + -12 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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