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Simplifying (3 + -4x) + (5 + 9x) = 46 Remove parenthesis around (3 + -4x) 3 + -4x + (5 + 9x) = 46 Remove parenthesis around (5 + 9x) 3 + -4x + 5 + 9x = 46 Reorder the terms: 3 + 5 + -4x + 9x = 46 Combine like terms: 3 + 5 = 8 8 + -4x + 9x = 46 Combine like terms: -4x + 9x = 5x 8 + 5x = 46 Solving 8 + 5x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 46 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 46 + -8 5x = 46 + -8 Combine like terms: 46 + -8 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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