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Simplifying x + 4w + -5 = 10x + w + 16 Reorder the terms: -5 + 4w + x = 10x + w + 16 Reorder the terms: -5 + 4w + x = 16 + w + 10x Solving -5 + 4w + x = 16 + w + 10x 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. -5 + 4w + -1w + x = 16 + w + -1w + 10x Combine like terms: 4w + -1w = 3w -5 + 3w + x = 16 + w + -1w + 10x Combine like terms: w + -1w = 0 -5 + 3w + x = 16 + 0 + 10x -5 + 3w + x = 16 + 10x Add '5' to each side of the equation. -5 + 3w + 5 + x = 16 + 5 + 10x Reorder the terms: -5 + 5 + 3w + x = 16 + 5 + 10x Combine like terms: -5 + 5 = 0 0 + 3w + x = 16 + 5 + 10x 3w + x = 16 + 5 + 10x Combine like terms: 16 + 5 = 21 3w + x = 21 + 10x Add '-1x' to each side of the equation. 3w + x + -1x = 21 + 10x + -1x Combine like terms: x + -1x = 0 3w + 0 = 21 + 10x + -1x 3w = 21 + 10x + -1x Combine like terms: 10x + -1x = 9x 3w = 21 + 9x Divide each side by '3'. w = 7 + 3x Simplifying w = 7 + 3x
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