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Simplifying 3(1 + 7x) + 9 = (-8 + x) (1 * 3 + 7x * 3) + 9 = (-8 + x) (3 + 21x) + 9 = (-8 + x) Reorder the terms: 3 + 9 + 21x = (-8 + x) Combine like terms: 3 + 9 = 12 12 + 21x = (-8 + x) Remove parenthesis around (-8 + x) 12 + 21x = -8 + x Solving 12 + 21x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 21x + -1x = -8 + x + -1x Combine like terms: 21x + -1x = 20x 12 + 20x = -8 + x + -1x Combine like terms: x + -1x = 0 12 + 20x = -8 + 0 12 + 20x = -8 Add '-12' to each side of the equation. 12 + -12 + 20x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = -8 + -12 20x = -8 + -12 Combine like terms: -8 + -12 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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