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Simplifying 5x + 14 + -1w = 7x + 15 Reorder the terms: 14 + -1w + 5x = 7x + 15 Reorder the terms: 14 + -1w + 5x = 15 + 7x Solving 14 + -1w + 5x = 15 + 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1w + -14 + 5x = 15 + -14 + 7x Reorder the terms: 14 + -14 + -1w + 5x = 15 + -14 + 7x Combine like terms: 14 + -14 = 0 0 + -1w + 5x = 15 + -14 + 7x -1w + 5x = 15 + -14 + 7x Combine like terms: 15 + -14 = 1 -1w + 5x = 1 + 7x Add '-5x' to each side of the equation. -1w + 5x + -5x = 1 + 7x + -5x Combine like terms: 5x + -5x = 0 -1w + 0 = 1 + 7x + -5x -1w = 1 + 7x + -5x Combine like terms: 7x + -5x = 2x -1w = 1 + 2x Divide each side by '-1'. w = -1 + -2x Simplifying w = -1 + -2x
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