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