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Simplifying 6(5X + 1) = 7(2X + 7) Reorder the terms: 6(1 + 5X) = 7(2X + 7) (1 * 6 + 5X * 6) = 7(2X + 7) (6 + 30X) = 7(2X + 7) Reorder the terms: 6 + 30X = 7(7 + 2X) 6 + 30X = (7 * 7 + 2X * 7) 6 + 30X = (49 + 14X) Solving 6 + 30X = 49 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. 6 + 30X + -14X = 49 + 14X + -14X Combine like terms: 30X + -14X = 16X 6 + 16X = 49 + 14X + -14X Combine like terms: 14X + -14X = 0 6 + 16X = 49 + 0 6 + 16X = 49 Add '-6' to each side of the equation. 6 + -6 + 16X = 49 + -6 Combine like terms: 6 + -6 = 0 0 + 16X = 49 + -6 16X = 49 + -6 Combine like terms: 49 + -6 = 43 16X = 43 Divide each side by '16'. X = 2.6875 Simplifying X = 2.6875
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