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Simplifying 17x + 23 = 15x + 53 Reorder the terms: 23 + 17x = 15x + 53 Reorder the terms: 23 + 17x = 53 + 15x Solving 23 + 17x = 53 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 23 + 17x + -15x = 53 + 15x + -15x Combine like terms: 17x + -15x = 2x 23 + 2x = 53 + 15x + -15x Combine like terms: 15x + -15x = 0 23 + 2x = 53 + 0 23 + 2x = 53 Add '-23' to each side of the equation. 23 + -23 + 2x = 53 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 53 + -23 2x = 53 + -23 Combine like terms: 53 + -23 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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