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Simplifying -5x + 24 = 32 + -7x Reorder the terms: 24 + -5x = 32 + -7x Solving 24 + -5x = 32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -5x + 7x = 32 + -7x + 7x Combine like terms: -5x + 7x = 2x 24 + 2x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 2x = 32 + 0 24 + 2x = 32 Add '-24' to each side of the equation. 24 + -24 + 2x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 32 + -24 2x = 32 + -24 Combine like terms: 32 + -24 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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