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Simplifying 37x + 11 = 6(6x + 3) Reorder the terms: 11 + 37x = 6(6x + 3) Reorder the terms: 11 + 37x = 6(3 + 6x) 11 + 37x = (3 * 6 + 6x * 6) 11 + 37x = (18 + 36x) Solving 11 + 37x = 18 + 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 = 18 + 36x + -36x Combine like terms: 37x + -36x = 1x 11 + 1x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 11 + 1x = 18 + 0 11 + 1x = 18 Add '-11' to each side of the equation. 11 + -11 + 1x = 18 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 18 + -11 1x = 18 + -11 Combine like terms: 18 + -11 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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