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Simplifying 2w + -0.75(x + 2w) = x + -1.25w + 1.75 Reorder the terms: 2w + -0.75(2w + x) = x + -1.25w + 1.75 2w + (2w * -0.75 + x * -0.75) = x + -1.25w + 1.75 2w + (-1.5w + -0.75x) = x + -1.25w + 1.75 Combine like terms: 2w + -1.5w = 0.5w 0.5w + -0.75x = x + -1.25w + 1.75 Reorder the terms: 0.5w + -0.75x = 1.75 + -1.25w + x Solving 0.5w + -0.75x = 1.75 + -1.25w + x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.25w' to each side of the equation. 0.5w + 1.25w + -0.75x = 1.75 + -1.25w + 1.25w + x Combine like terms: 0.5w + 1.25w = 1.75w 1.75w + -0.75x = 1.75 + -1.25w + 1.25w + x Combine like terms: -1.25w + 1.25w = 0.00 1.75w + -0.75x = 1.75 + 0.00 + x 1.75w + -0.75x = 1.75 + x Add '0.75x' to each side of the equation. 1.75w + -0.75x + 0.75x = 1.75 + x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 1.75w + 0.00 = 1.75 + x + 0.75x 1.75w = 1.75 + x + 0.75x Combine like terms: x + 0.75x = 1.75x 1.75w = 1.75 + 1.75x Divide each side by '1.75'. w = 1 + x Simplifying w = 1 + x
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