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Simplifying 37x + 3 = 6(6x + 7) Reorder the terms: 3 + 37x = 6(6x + 7) Reorder the terms: 3 + 37x = 6(7 + 6x) 3 + 37x = (7 * 6 + 6x * 6) 3 + 37x = (42 + 36x) Solving 3 + 37x = 42 + 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. 3 + 37x + -36x = 42 + 36x + -36x Combine like terms: 37x + -36x = 1x 3 + 1x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 3 + 1x = 42 + 0 3 + 1x = 42 Add '-3' to each side of the equation. 3 + -3 + 1x = 42 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 42 + -3 1x = 42 + -3 Combine like terms: 42 + -3 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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