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Simplifying 8x + -32 = 7x + 10 Reorder the terms: -32 + 8x = 7x + 10 Reorder the terms: -32 + 8x = 10 + 7x Solving -32 + 8x = 10 + 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. -32 + 8x + -7x = 10 + 7x + -7x Combine like terms: 8x + -7x = 1x -32 + 1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 1x = 10 + 0 -32 + 1x = 10 Add '32' to each side of the equation. -32 + 32 + 1x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 10 + 32 1x = 10 + 32 Combine like terms: 10 + 32 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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