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Simplifying 2x + -7 + 6x = 17 + 4x + x Reorder the terms: -7 + 2x + 6x = 17 + 4x + x Combine like terms: 2x + 6x = 8x -7 + 8x = 17 + 4x + x Combine like terms: 4x + x = 5x -7 + 8x = 17 + 5x Solving -7 + 8x = 17 + 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. -7 + 8x + -5x = 17 + 5x + -5x Combine like terms: 8x + -5x = 3x -7 + 3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 3x = 17 + 0 -7 + 3x = 17 Add '7' to each side of the equation. -7 + 7 + 3x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 17 + 7 3x = 17 + 7 Combine like terms: 17 + 7 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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