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Simplifying 37x + 12 = 6(6x + 7) Reorder the terms: 12 + 37x = 6(6x + 7) Reorder the terms: 12 + 37x = 6(7 + 6x) 12 + 37x = (7 * 6 + 6x * 6) 12 + 37x = (42 + 36x) Solving 12 + 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. 12 + 37x + -36x = 42 + 36x + -36x Combine like terms: 37x + -36x = 1x 12 + 1x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 12 + 1x = 42 + 0 12 + 1x = 42 Add '-12' to each side of the equation. 12 + -12 + 1x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 42 + -12 1x = 42 + -12 Combine like terms: 42 + -12 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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