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Simplifying 9x + 13 = 5x + 49 Reorder the terms: 13 + 9x = 5x + 49 Reorder the terms: 13 + 9x = 49 + 5x Solving 13 + 9x = 49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 9x + -5x = 49 + 5x + -5x Combine like terms: 9x + -5x = 4x 13 + 4x = 49 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 4x = 49 + 0 13 + 4x = 49 Add '-13' to each side of the equation. 13 + -13 + 4x = 49 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 49 + -13 4x = 49 + -13 Combine like terms: 49 + -13 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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