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Simplifying 37x + 17 = 6(6x + 6) Reorder the terms: 17 + 37x = 6(6x + 6) Reorder the terms: 17 + 37x = 6(6 + 6x) 17 + 37x = (6 * 6 + 6x * 6) 17 + 37x = (36 + 36x) Solving 17 + 37x = 36 + 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. 17 + 37x + -36x = 36 + 36x + -36x Combine like terms: 37x + -36x = 1x 17 + 1x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 17 + 1x = 36 + 0 17 + 1x = 36 Add '-17' to each side of the equation. 17 + -17 + 1x = 36 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 36 + -17 1x = 36 + -17 Combine like terms: 36 + -17 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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