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Simplifying 2(6x + 7) = (4x + 1) Reorder the terms: 2(7 + 6x) = (4x + 1) (7 * 2 + 6x * 2) = (4x + 1) (14 + 12x) = (4x + 1) Reorder the terms: 14 + 12x = (1 + 4x) Remove parenthesis around (1 + 4x) 14 + 12x = 1 + 4x Solving 14 + 12x = 1 + 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. 14 + 12x + -4x = 1 + 4x + -4x Combine like terms: 12x + -4x = 8x 14 + 8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 8x = 1 + 0 14 + 8x = 1 Add '-14' to each side of the equation. 14 + -14 + 8x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 1 + -14 8x = 1 + -14 Combine like terms: 1 + -14 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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