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Simplifying 167 = 6 + 7(2 + -7x) 167 = 6 + (2 * 7 + -7x * 7) 167 = 6 + (14 + -49x) Combine like terms: 6 + 14 = 20 167 = 20 + -49x Solving 167 = 20 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 167 + 49x = 20 + -49x + 49x Combine like terms: -49x + 49x = 0 167 + 49x = 20 + 0 167 + 49x = 20 Add '-167' to each side of the equation. 167 + -167 + 49x = 20 + -167 Combine like terms: 167 + -167 = 0 0 + 49x = 20 + -167 49x = 20 + -167 Combine like terms: 20 + -167 = -147 49x = -147 Divide each side by '49'. x = -3 Simplifying x = -3
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