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Simplifying w + -2x + 50 = 2w + x + 6 Reorder the terms: 50 + w + -2x = 2w + x + 6 Reorder the terms: 50 + w + -2x = 6 + 2w + x Solving 50 + w + -2x = 6 + 2w + x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 50 + w + -2w + -2x = 6 + 2w + -2w + x Combine like terms: w + -2w = -1w 50 + -1w + -2x = 6 + 2w + -2w + x Combine like terms: 2w + -2w = 0 50 + -1w + -2x = 6 + 0 + x 50 + -1w + -2x = 6 + x Add '-50' to each side of the equation. 50 + -1w + -50 + -2x = 6 + -50 + x Reorder the terms: 50 + -50 + -1w + -2x = 6 + -50 + x Combine like terms: 50 + -50 = 0 0 + -1w + -2x = 6 + -50 + x -1w + -2x = 6 + -50 + x Combine like terms: 6 + -50 = -44 -1w + -2x = -44 + x Add '2x' to each side of the equation. -1w + -2x + 2x = -44 + x + 2x Combine like terms: -2x + 2x = 0 -1w + 0 = -44 + x + 2x -1w = -44 + x + 2x Combine like terms: x + 2x = 3x -1w = -44 + 3x Divide each side by '-1'. w = 44 + -3x Simplifying w = 44 + -3x
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