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Simplifying 7 + 7(1 + -2x) = 84 7 + (1 * 7 + -2x * 7) = 84 7 + (7 + -14x) = 84 Combine like terms: 7 + 7 = 14 14 + -14x = 84 Solving 14 + -14x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -14x = 84 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = 84 + -14 -14x = 84 + -14 Combine like terms: 84 + -14 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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