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Simplifying 13x + 5 = 9x + 21 Reorder the terms: 5 + 13x = 9x + 21 Reorder the terms: 5 + 13x = 21 + 9x Solving 5 + 13x = 21 + 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 + 13x + -9x = 21 + 9x + -9x Combine like terms: 13x + -9x = 4x 5 + 4x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 4x = 21 + 0 5 + 4x = 21 Add '-5' to each side of the equation. 5 + -5 + 4x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 21 + -5 4x = 21 + -5 Combine like terms: 21 + -5 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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