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Simplifying 45x + -23 = 27x + -52 Reorder the terms: -23 + 45x = 27x + -52 Reorder the terms: -23 + 45x = -52 + 27x Solving -23 + 45x = -52 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -23 + 45x + -27x = -52 + 27x + -27x Combine like terms: 45x + -27x = 18x -23 + 18x = -52 + 27x + -27x Combine like terms: 27x + -27x = 0 -23 + 18x = -52 + 0 -23 + 18x = -52 Add '23' to each side of the equation. -23 + 23 + 18x = -52 + 23 Combine like terms: -23 + 23 = 0 0 + 18x = -52 + 23 18x = -52 + 23 Combine like terms: -52 + 23 = -29 18x = -29 Divide each side by '18'. x = -1.611111111 Simplifying x = -1.611111111
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