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Simplifying 8x + -17 + 4x = 13 + 2x Reorder the terms: -17 + 8x + 4x = 13 + 2x Combine like terms: 8x + 4x = 12x -17 + 12x = 13 + 2x Solving -17 + 12x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 12x + -2x = 13 + 2x + -2x Combine like terms: 12x + -2x = 10x -17 + 10x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 10x = 13 + 0 -17 + 10x = 13 Add '17' to each side of the equation. -17 + 17 + 10x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 13 + 17 10x = 13 + 17 Combine like terms: 13 + 17 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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