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Simplifying 5x + 101 = 8x + 125 Reorder the terms: 101 + 5x = 8x + 125 Reorder the terms: 101 + 5x = 125 + 8x Solving 101 + 5x = 125 + 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. 101 + 5x + -8x = 125 + 8x + -8x Combine like terms: 5x + -8x = -3x 101 + -3x = 125 + 8x + -8x Combine like terms: 8x + -8x = 0 101 + -3x = 125 + 0 101 + -3x = 125 Add '-101' to each side of the equation. 101 + -101 + -3x = 125 + -101 Combine like terms: 101 + -101 = 0 0 + -3x = 125 + -101 -3x = 125 + -101 Combine like terms: 125 + -101 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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