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