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Simplifying 7w + x + -32 = 7x + w + 16 Reorder the terms: -32 + 7w + x = 7x + w + 16 Reorder the terms: -32 + 7w + x = 16 + w + 7x Solving -32 + 7w + x = 16 + w + 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -32 + 7w + -1w + x = 16 + w + -1w + 7x Combine like terms: 7w + -1w = 6w -32 + 6w + x = 16 + w + -1w + 7x Combine like terms: w + -1w = 0 -32 + 6w + x = 16 + 0 + 7x -32 + 6w + x = 16 + 7x Add '32' to each side of the equation. -32 + 6w + 32 + x = 16 + 32 + 7x Reorder the terms: -32 + 32 + 6w + x = 16 + 32 + 7x Combine like terms: -32 + 32 = 0 0 + 6w + x = 16 + 32 + 7x 6w + x = 16 + 32 + 7x Combine like terms: 16 + 32 = 48 6w + x = 48 + 7x Add '-1x' to each side of the equation. 6w + x + -1x = 48 + 7x + -1x Combine like terms: x + -1x = 0 6w + 0 = 48 + 7x + -1x 6w = 48 + 7x + -1x Combine like terms: 7x + -1x = 6x 6w = 48 + 6x Divide each side by '6'. w = 8 + x Simplifying w = 8 + x
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