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Simplifying -32 + 10x = 8x + 10 Reorder the terms: -32 + 10x = 10 + 8x Solving -32 + 10x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 10x + -8x = 10 + 8x + -8x Combine like terms: 10x + -8x = 2x -32 + 2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 2x = 10 + 0 -32 + 2x = 10 Add '32' to each side of the equation. -32 + 32 + 2x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 10 + 32 2x = 10 + 32 Combine like terms: 10 + 32 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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