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Simplifying 2(1 + -4x) = 3(2x + 1) (1 * 2 + -4x * 2) = 3(2x + 1) (2 + -8x) = 3(2x + 1) Reorder the terms: 2 + -8x = 3(1 + 2x) 2 + -8x = (1 * 3 + 2x * 3) 2 + -8x = (3 + 6x) Solving 2 + -8x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -8x + -6x = 3 + 6x + -6x Combine like terms: -8x + -6x = -14x 2 + -14x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -14x = 3 + 0 2 + -14x = 3 Add '-2' to each side of the equation. 2 + -2 + -14x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 3 + -2 -14x = 3 + -2 Combine like terms: 3 + -2 = 1 -14x = 1 Divide each side by '-14'. x = -0.07142857143 Simplifying x = -0.07142857143
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