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Simplifying 37x + 15 = 6(6x + 8) Reorder the terms: 15 + 37x = 6(6x + 8) Reorder the terms: 15 + 37x = 6(8 + 6x) 15 + 37x = (8 * 6 + 6x * 6) 15 + 37x = (48 + 36x) Solving 15 + 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. 15 + 37x + -36x = 48 + 36x + -36x Combine like terms: 37x + -36x = 1x 15 + 1x = 48 + 36x + -36x Combine like terms: 36x + -36x = 0 15 + 1x = 48 + 0 15 + 1x = 48 Add '-15' to each side of the equation. 15 + -15 + 1x = 48 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 48 + -15 1x = 48 + -15 Combine like terms: 48 + -15 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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