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Simplifying 37x + 19 = 6(6x + 5) Reorder the terms: 19 + 37x = 6(6x + 5) Reorder the terms: 19 + 37x = 6(5 + 6x) 19 + 37x = (5 * 6 + 6x * 6) 19 + 37x = (30 + 36x) Solving 19 + 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. 19 + 37x + -36x = 30 + 36x + -36x Combine like terms: 37x + -36x = 1x 19 + 1x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 19 + 1x = 30 + 0 19 + 1x = 30 Add '-19' to each side of the equation. 19 + -19 + 1x = 30 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 30 + -19 1x = 30 + -19 Combine like terms: 30 + -19 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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