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Simplifying 2(6 + 7x) = 2(4x + 1) (6 * 2 + 7x * 2) = 2(4x + 1) (12 + 14x) = 2(4x + 1) Reorder the terms: 12 + 14x = 2(1 + 4x) 12 + 14x = (1 * 2 + 4x * 2) 12 + 14x = (2 + 8x) Solving 12 + 14x = 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. 12 + 14x + -8x = 2 + 8x + -8x Combine like terms: 14x + -8x = 6x 12 + 6x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 6x = 2 + 0 12 + 6x = 2 Add '-12' to each side of the equation. 12 + -12 + 6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 2 + -12 6x = 2 + -12 Combine like terms: 2 + -12 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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