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