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Simplifying 3x + 2x + -4x + -8 = -4x + 17 Reorder the terms: -8 + 3x + 2x + -4x = -4x + 17 Combine like terms: 3x + 2x = 5x -8 + 5x + -4x = -4x + 17 Combine like terms: 5x + -4x = 1x -8 + 1x = -4x + 17 Reorder the terms: -8 + 1x = 17 + -4x Solving -8 + 1x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 1x + 4x = 17 + -4x + 4x Combine like terms: 1x + 4x = 5x -8 + 5x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 5x = 17 + 0 -8 + 5x = 17 Add '8' to each side of the equation. -8 + 8 + 5x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 17 + 8 5x = 17 + 8 Combine like terms: 17 + 8 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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