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Simplifying 9x + -6x + -32 = 24 + -4x Reorder the terms: -32 + 9x + -6x = 24 + -4x Combine like terms: 9x + -6x = 3x -32 + 3x = 24 + -4x Solving -32 + 3x = 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. -32 + 3x + 4x = 24 + -4x + 4x Combine like terms: 3x + 4x = 7x -32 + 7x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 7x = 24 + 0 -32 + 7x = 24 Add '32' to each side of the equation. -32 + 32 + 7x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = 24 + 32 7x = 24 + 32 Combine like terms: 24 + 32 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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