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Simplifying 12x + 10 = 8x + 25 Reorder the terms: 10 + 12x = 8x + 25 Reorder the terms: 10 + 12x = 25 + 8x Solving 10 + 12x = 25 + 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. 10 + 12x + -8x = 25 + 8x + -8x Combine like terms: 12x + -8x = 4x 10 + 4x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 4x = 25 + 0 10 + 4x = 25 Add '-10' to each side of the equation. 10 + -10 + 4x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 25 + -10 4x = 25 + -10 Combine like terms: 25 + -10 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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