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Simplifying 2(4x + 1) = 3(2 + -1x) Reorder the terms: 2(1 + 4x) = 3(2 + -1x) (1 * 2 + 4x * 2) = 3(2 + -1x) (2 + 8x) = 3(2 + -1x) 2 + 8x = (2 * 3 + -1x * 3) 2 + 8x = (6 + -3x) Solving 2 + 8x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 8x + 3x = 6 + -3x + 3x Combine like terms: 8x + 3x = 11x 2 + 11x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 11x = 6 + 0 2 + 11x = 6 Add '-2' to each side of the equation. 2 + -2 + 11x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 6 + -2 11x = 6 + -2 Combine like terms: 6 + -2 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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