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Simplifying 7x + 32 = 8x + 10 Reorder the terms: 32 + 7x = 8x + 10 Reorder the terms: 32 + 7x = 10 + 8x Solving 32 + 7x = 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 + 7x + -8x = 10 + 8x + -8x Combine like terms: 7x + -8x = -1x 32 + -1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 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 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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