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Simplifying 37x + 11 = 6(6x + 2) Reorder the terms: 11 + 37x = 6(6x + 2) Reorder the terms: 11 + 37x = 6(2 + 6x) 11 + 37x = (2 * 6 + 6x * 6) 11 + 37x = (12 + 36x) Solving 11 + 37x = 12 + 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 = 12 + 36x + -36x Combine like terms: 37x + -36x = 1x 11 + 1x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 11 + 1x = 12 + 0 11 + 1x = 12 Add '-11' to each side of the equation. 11 + -11 + 1x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 12 + -11 1x = 12 + -11 Combine like terms: 12 + -11 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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