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Simplifying 4(2x + 1) = 2(1 + -3x) Reorder the terms: 4(1 + 2x) = 2(1 + -3x) (1 * 4 + 2x * 4) = 2(1 + -3x) (4 + 8x) = 2(1 + -3x) 4 + 8x = (1 * 2 + -3x * 2) 4 + 8x = (2 + -6x) Solving 4 + 8x = 2 + -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. 4 + 8x + 6x = 2 + -6x + 6x Combine like terms: 8x + 6x = 14x 4 + 14x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 14x = 2 + 0 4 + 14x = 2 Add '-4' to each side of the equation. 4 + -4 + 14x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 2 + -4 14x = 2 + -4 Combine like terms: 2 + -4 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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