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