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Simplifying 1 + -12x = 7(1 + 2x) 1 + -12x = (1 * 7 + 2x * 7) 1 + -12x = (7 + 14x) Solving 1 + -12x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + -12x + -14x = 7 + 14x + -14x Combine like terms: -12x + -14x = -26x 1 + -26x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -26x = 7 + 0 1 + -26x = 7 Add '-1' to each side of the equation. 1 + -1 + -26x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -26x = 7 + -1 -26x = 7 + -1 Combine like terms: 7 + -1 = 6 -26x = 6 Divide each side by '-26'. x = -0.2307692308 Simplifying x = -0.2307692308
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