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Simplifying -35 + 12x = 8x + 37 Reorder the terms: -35 + 12x = 37 + 8x Solving -35 + 12x = 37 + 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. -35 + 12x + -8x = 37 + 8x + -8x Combine like terms: 12x + -8x = 4x -35 + 4x = 37 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 4x = 37 + 0 -35 + 4x = 37 Add '35' to each side of the equation. -35 + 35 + 4x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 37 + 35 4x = 37 + 35 Combine like terms: 37 + 35 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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