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Simplifying 15x + 27 = 17x + 23 Reorder the terms: 27 + 15x = 17x + 23 Reorder the terms: 27 + 15x = 23 + 17x Solving 27 + 15x = 23 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 27 + 15x + -17x = 23 + 17x + -17x Combine like terms: 15x + -17x = -2x 27 + -2x = 23 + 17x + -17x Combine like terms: 17x + -17x = 0 27 + -2x = 23 + 0 27 + -2x = 23 Add '-27' to each side of the equation. 27 + -27 + -2x = 23 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 23 + -27 -2x = 23 + -27 Combine like terms: 23 + -27 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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