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Simplifying 3(1 + -4x) + -2(7x + 1) = 2 (1 * 3 + -4x * 3) + -2(7x + 1) = 2 (3 + -12x) + -2(7x + 1) = 2 Reorder the terms: 3 + -12x + -2(1 + 7x) = 2 3 + -12x + (1 * -2 + 7x * -2) = 2 3 + -12x + (-2 + -14x) = 2 Reorder the terms: 3 + -2 + -12x + -14x = 2 Combine like terms: 3 + -2 = 1 1 + -12x + -14x = 2 Combine like terms: -12x + -14x = -26x 1 + -26x = 2 Solving 1 + -26x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -26x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -26x = 2 + -1 -26x = 2 + -1 Combine like terms: 2 + -1 = 1 -26x = 1 Divide each side by '-26'. x = -0.03846153846 Simplifying x = -0.03846153846
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