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Simplifying 12x + -17 = 8x + 35 Reorder the terms: -17 + 12x = 8x + 35 Reorder the terms: -17 + 12x = 35 + 8x Solving -17 + 12x = 35 + 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. -17 + 12x + -8x = 35 + 8x + -8x Combine like terms: 12x + -8x = 4x -17 + 4x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + 4x = 35 + 0 -17 + 4x = 35 Add '17' to each side of the equation. -17 + 17 + 4x = 35 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 35 + 17 4x = 35 + 17 Combine like terms: 35 + 17 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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