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Simplifying 3x + -17 + 2x + 9 = 4x + 24 Reorder the terms: -17 + 9 + 3x + 2x = 4x + 24 Combine like terms: -17 + 9 = -8 -8 + 3x + 2x = 4x + 24 Combine like terms: 3x + 2x = 5x -8 + 5x = 4x + 24 Reorder the terms: -8 + 5x = 24 + 4x Solving -8 + 5x = 24 + 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 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = 24 + 0 -8 + 1x = 24 Add '8' to each side of the equation. -8 + 8 + 1x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 24 + 8 1x = 24 + 8 Combine like terms: 24 + 8 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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