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Simplifying 23x + 55 = 13x + 75 Reorder the terms: 55 + 23x = 13x + 75 Reorder the terms: 55 + 23x = 75 + 13x Solving 55 + 23x = 75 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 55 + 23x + -13x = 75 + 13x + -13x Combine like terms: 23x + -13x = 10x 55 + 10x = 75 + 13x + -13x Combine like terms: 13x + -13x = 0 55 + 10x = 75 + 0 55 + 10x = 75 Add '-55' to each side of the equation. 55 + -55 + 10x = 75 + -55 Combine like terms: 55 + -55 = 0 0 + 10x = 75 + -55 10x = 75 + -55 Combine like terms: 75 + -55 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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