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Simplifying 37x + 12 = 6(6x + 3) Reorder the terms: 12 + 37x = 6(6x + 3) Reorder the terms: 12 + 37x = 6(3 + 6x) 12 + 37x = (3 * 6 + 6x * 6) 12 + 37x = (18 + 36x) Solving 12 + 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. 12 + 37x + -36x = 18 + 36x + -36x Combine like terms: 37x + -36x = 1x 12 + 1x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 12 + 1x = 18 + 0 12 + 1x = 18 Add '-12' to each side of the equation. 12 + -12 + 1x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 18 + -12 1x = 18 + -12 Combine like terms: 18 + -12 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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