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Simplifying 12x + 424 = 8x + 578 Reorder the terms: 424 + 12x = 8x + 578 Reorder the terms: 424 + 12x = 578 + 8x Solving 424 + 12x = 578 + 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. 424 + 12x + -8x = 578 + 8x + -8x Combine like terms: 12x + -8x = 4x 424 + 4x = 578 + 8x + -8x Combine like terms: 8x + -8x = 0 424 + 4x = 578 + 0 424 + 4x = 578 Add '-424' to each side of the equation. 424 + -424 + 4x = 578 + -424 Combine like terms: 424 + -424 = 0 0 + 4x = 578 + -424 4x = 578 + -424 Combine like terms: 578 + -424 = 154 4x = 154 Divide each side by '4'. x = 38.5 Simplifying x = 38.5
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