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Simplifying 2x + 7w + -4 = 3w + 8 + 5x Reorder the terms: -4 + 7w + 2x = 3w + 8 + 5x Reorder the terms: -4 + 7w + 2x = 8 + 3w + 5x Solving -4 + 7w + 2x = 8 + 3w + 5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -4 + 7w + -3w + 2x = 8 + 3w + -3w + 5x Combine like terms: 7w + -3w = 4w -4 + 4w + 2x = 8 + 3w + -3w + 5x Combine like terms: 3w + -3w = 0 -4 + 4w + 2x = 8 + 0 + 5x -4 + 4w + 2x = 8 + 5x Add '4' to each side of the equation. -4 + 4w + 4 + 2x = 8 + 4 + 5x Reorder the terms: -4 + 4 + 4w + 2x = 8 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 4w + 2x = 8 + 4 + 5x 4w + 2x = 8 + 4 + 5x Combine like terms: 8 + 4 = 12 4w + 2x = 12 + 5x Add '-2x' to each side of the equation. 4w + 2x + -2x = 12 + 5x + -2x Combine like terms: 2x + -2x = 0 4w + 0 = 12 + 5x + -2x 4w = 12 + 5x + -2x Combine like terms: 5x + -2x = 3x 4w = 12 + 3x Divide each side by '4'. w = 3 + 0.75x Simplifying w = 3 + 0.75x
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