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Simplifying 8x + 4x + -17 = 51 + -5x Reorder the terms: -17 + 8x + 4x = 51 + -5x Combine like terms: 8x + 4x = 12x -17 + 12x = 51 + -5x Solving -17 + 12x = 51 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -17 + 12x + 5x = 51 + -5x + 5x Combine like terms: 12x + 5x = 17x -17 + 17x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + 17x = 51 + 0 -17 + 17x = 51 Add '17' to each side of the equation. -17 + 17 + 17x = 51 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 51 + 17 17x = 51 + 17 Combine like terms: 51 + 17 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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