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Simplifying 37x + 19 = 6(6x + 8) Reorder the terms: 19 + 37x = 6(6x + 8) Reorder the terms: 19 + 37x = 6(8 + 6x) 19 + 37x = (8 * 6 + 6x * 6) 19 + 37x = (48 + 36x) Solving 19 + 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. 19 + 37x + -36x = 48 + 36x + -36x Combine like terms: 37x + -36x = 1x 19 + 1x = 48 + 36x + -36x Combine like terms: 36x + -36x = 0 19 + 1x = 48 + 0 19 + 1x = 48 Add '-19' to each side of the equation. 19 + -19 + 1x = 48 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 48 + -19 1x = 48 + -19 Combine like terms: 48 + -19 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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