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Simplifying 37x + 13 = 6(6x + 6) Reorder the terms: 13 + 37x = 6(6x + 6) Reorder the terms: 13 + 37x = 6(6 + 6x) 13 + 37x = (6 * 6 + 6x * 6) 13 + 37x = (36 + 36x) Solving 13 + 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. 13 + 37x + -36x = 36 + 36x + -36x Combine like terms: 37x + -36x = 1x 13 + 1x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 13 + 1x = 36 + 0 13 + 1x = 36 Add '-13' to each side of the equation. 13 + -13 + 1x = 36 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 36 + -13 1x = 36 + -13 Combine like terms: 36 + -13 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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