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Simplifying 37x + 20 = 6(6x + 8) Reorder the terms: 20 + 37x = 6(6x + 8) Reorder the terms: 20 + 37x = 6(8 + 6x) 20 + 37x = (8 * 6 + 6x * 6) 20 + 37x = (48 + 36x) Solving 20 + 37x = 48 + 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. 20 + 37x + -36x = 48 + 36x + -36x Combine like terms: 37x + -36x = 1x 20 + 1x = 48 + 36x + -36x Combine like terms: 36x + -36x = 0 20 + 1x = 48 + 0 20 + 1x = 48 Add '-20' to each side of the equation. 20 + -20 + 1x = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 48 + -20 1x = 48 + -20 Combine like terms: 48 + -20 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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