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Simplifying 21x + 2.5w = 6 + 5.7w + -3.2w + 15 Reorder the terms: 2.5w + 21x = 6 + 5.7w + -3.2w + 15 Reorder the terms: 2.5w + 21x = 6 + 15 + 5.7w + -3.2w Combine like terms: 6 + 15 = 21 2.5w + 21x = 21 + 5.7w + -3.2w Combine like terms: 5.7w + -3.2w = 2.5w 2.5w + 21x = 21 + 2.5w Add '-2.5w' to each side of the equation. 2.5w + -2.5w + 21x = 21 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 0.0 + 21x = 21 + 2.5w + -2.5w 21x = 21 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 21x = 21 + 0.0 21x = 21 Solving 21x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '21'. x = 1 Simplifying x = 1
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