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Simplifying 37x + 10 = 6(6x + 5) Reorder the terms: 10 + 37x = 6(6x + 5) Reorder the terms: 10 + 37x = 6(5 + 6x) 10 + 37x = (5 * 6 + 6x * 6) 10 + 37x = (30 + 36x) Solving 10 + 37x = 30 + 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. 10 + 37x + -36x = 30 + 36x + -36x Combine like terms: 37x + -36x = 1x 10 + 1x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 10 + 1x = 30 + 0 10 + 1x = 30 Add '-10' to each side of the equation. 10 + -10 + 1x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 30 + -10 1x = 30 + -10 Combine like terms: 30 + -10 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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