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Simplifying 4x + 5 = 34 + -9x Reorder the terms: 5 + 4x = 34 + -9x Solving 5 + 4x = 34 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 4x + 9x = 34 + -9x + 9x Combine like terms: 4x + 9x = 13x 5 + 13x = 34 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 13x = 34 + 0 5 + 13x = 34 Add '-5' to each side of the equation. 5 + -5 + 13x = 34 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 34 + -5 13x = 34 + -5 Combine like terms: 34 + -5 = 29 13x = 29 Divide each side by '13'. x = 2.230769231 Simplifying x = 2.230769231
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