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Simplifying 5x + 23 = 8x + 38 Reorder the terms: 23 + 5x = 8x + 38 Reorder the terms: 23 + 5x = 38 + 8x Solving 23 + 5x = 38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + 5x + -8x = 38 + 8x + -8x Combine like terms: 5x + -8x = -3x 23 + -3x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -3x = 38 + 0 23 + -3x = 38 Add '-23' to each side of the equation. 23 + -23 + -3x = 38 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 38 + -23 -3x = 38 + -23 Combine like terms: 38 + -23 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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