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Simplifying 37x + 4 = 6(6x + 7) Reorder the terms: 4 + 37x = 6(6x + 7) Reorder the terms: 4 + 37x = 6(7 + 6x) 4 + 37x = (7 * 6 + 6x * 6) 4 + 37x = (42 + 36x) Solving 4 + 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. 4 + 37x + -36x = 42 + 36x + -36x Combine like terms: 37x + -36x = 1x 4 + 1x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 4 + 1x = 42 + 0 4 + 1x = 42 Add '-4' to each side of the equation. 4 + -4 + 1x = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 42 + -4 1x = 42 + -4 Combine like terms: 42 + -4 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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