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Simplifying (4x + 38) + (5x + 8) = 0 Reorder the terms: (38 + 4x) + (5x + 8) = 0 Remove parenthesis around (38 + 4x) 38 + 4x + (5x + 8) = 0 Reorder the terms: 38 + 4x + (8 + 5x) = 0 Remove parenthesis around (8 + 5x) 38 + 4x + 8 + 5x = 0 Reorder the terms: 38 + 8 + 4x + 5x = 0 Combine like terms: 38 + 8 = 46 46 + 4x + 5x = 0 Combine like terms: 4x + 5x = 9x 46 + 9x = 0 Solving 46 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 9x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 9x = 0 + -46 9x = 0 + -46 Combine like terms: 0 + -46 = -46 9x = -46 Divide each side by '9'. x = -5.111111111 Simplifying x = -5.111111111
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