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Simplifying 39(2x + 1) + -1x = 8 + -4x + 6 Reorder the terms: 39(1 + 2x) + -1x = 8 + -4x + 6 (1 * 39 + 2x * 39) + -1x = 8 + -4x + 6 (39 + 78x) + -1x = 8 + -4x + 6 Combine like terms: 78x + -1x = 77x 39 + 77x = 8 + -4x + 6 Reorder the terms: 39 + 77x = 8 + 6 + -4x Combine like terms: 8 + 6 = 14 39 + 77x = 14 + -4x Solving 39 + 77x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 39 + 77x + 4x = 14 + -4x + 4x Combine like terms: 77x + 4x = 81x 39 + 81x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 39 + 81x = 14 + 0 39 + 81x = 14 Add '-39' to each side of the equation. 39 + -39 + 81x = 14 + -39 Combine like terms: 39 + -39 = 0 0 + 81x = 14 + -39 81x = 14 + -39 Combine like terms: 14 + -39 = -25 81x = -25 Divide each side by '81'. x = -0.3086419753 Simplifying x = -0.3086419753
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