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Simplifying (5x + 23) = (7x + 13) Reorder the terms: (23 + 5x) = (7x + 13) Remove parenthesis around (23 + 5x) 23 + 5x = (7x + 13) Reorder the terms: 23 + 5x = (13 + 7x) Remove parenthesis around (13 + 7x) 23 + 5x = 13 + 7x Solving 23 + 5x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 23 + 5x + -7x = 13 + 7x + -7x Combine like terms: 5x + -7x = -2x 23 + -2x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -2x = 13 + 0 23 + -2x = 13 Add '-23' to each side of the equation. 23 + -23 + -2x = 13 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 13 + -23 -2x = 13 + -23 Combine like terms: 13 + -23 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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