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Simplifying 37x + 11 = 6(6x + 7) Reorder the terms: 11 + 37x = 6(6x + 7) Reorder the terms: 11 + 37x = 6(7 + 6x) 11 + 37x = (7 * 6 + 6x * 6) 11 + 37x = (42 + 36x) Solving 11 + 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. 11 + 37x + -36x = 42 + 36x + -36x Combine like terms: 37x + -36x = 1x 11 + 1x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 11 + 1x = 42 + 0 11 + 1x = 42 Add '-11' to each side of the equation. 11 + -11 + 1x = 42 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 42 + -11 1x = 42 + -11 Combine like terms: 42 + -11 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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