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Simplifying 37x + 14 = 6(6x + 1) Reorder the terms: 14 + 37x = 6(6x + 1) Reorder the terms: 14 + 37x = 6(1 + 6x) 14 + 37x = (1 * 6 + 6x * 6) 14 + 37x = (6 + 36x) Solving 14 + 37x = 6 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 14 + 37x + -36x = 6 + 36x + -36x Combine like terms: 37x + -36x = 1x 14 + 1x = 6 + 36x + -36x Combine like terms: 36x + -36x = 0 14 + 1x = 6 + 0 14 + 1x = 6 Add '-14' to each side of the equation. 14 + -14 + 1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 6 + -14 1x = 6 + -14 Combine like terms: 6 + -14 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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