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Simplifying 3x + 2(4x + 6) = 8x + 1 Reorder the terms: 3x + 2(6 + 4x) = 8x + 1 3x + (6 * 2 + 4x * 2) = 8x + 1 3x + (12 + 8x) = 8x + 1 Reorder the terms: 12 + 3x + 8x = 8x + 1 Combine like terms: 3x + 8x = 11x 12 + 11x = 8x + 1 Reorder the terms: 12 + 11x = 1 + 8x Solving 12 + 11x = 1 + 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. 12 + 11x + -8x = 1 + 8x + -8x Combine like terms: 11x + -8x = 3x 12 + 3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 3x = 1 + 0 12 + 3x = 1 Add '-12' to each side of the equation. 12 + -12 + 3x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 1 + -12 3x = 1 + -12 Combine like terms: 1 + -12 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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