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Simplifying 12x + 5 = 8x + 13 Reorder the terms: 5 + 12x = 8x + 13 Reorder the terms: 5 + 12x = 13 + 8x Solving 5 + 12x = 13 + 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. 5 + 12x + -8x = 13 + 8x + -8x Combine like terms: 12x + -8x = 4x 5 + 4x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 4x = 13 + 0 5 + 4x = 13 Add '-5' to each side of the equation. 5 + -5 + 4x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 13 + -5 4x = 13 + -5 Combine like terms: 13 + -5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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