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Simplifying 8x + 13 = 3x + 38 Reorder the terms: 13 + 8x = 3x + 38 Reorder the terms: 13 + 8x = 38 + 3x Solving 13 + 8x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 8x + -3x = 38 + 3x + -3x Combine like terms: 8x + -3x = 5x 13 + 5x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 5x = 38 + 0 13 + 5x = 38 Add '-13' to each side of the equation. 13 + -13 + 5x = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 38 + -13 5x = 38 + -13 Combine like terms: 38 + -13 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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