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Simplifying 5x + 24 = -3x + -32 Reorder the terms: 24 + 5x = -3x + -32 Reorder the terms: 24 + 5x = -32 + -3x Solving 24 + 5x = -32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 5x + 3x = -32 + -3x + 3x Combine like terms: 5x + 3x = 8x 24 + 8x = -32 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 8x = -32 + 0 24 + 8x = -32 Add '-24' to each side of the equation. 24 + -24 + 8x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -32 + -24 8x = -32 + -24 Combine like terms: -32 + -24 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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