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Simplifying 13x + 24 = 9x + 56 Reorder the terms: 24 + 13x = 9x + 56 Reorder the terms: 24 + 13x = 56 + 9x Solving 24 + 13x = 56 + 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. 24 + 13x + -9x = 56 + 9x + -9x Combine like terms: 13x + -9x = 4x 24 + 4x = 56 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 4x = 56 + 0 24 + 4x = 56 Add '-24' to each side of the equation. 24 + -24 + 4x = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 56 + -24 4x = 56 + -24 Combine like terms: 56 + -24 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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