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Simplifying 2(2x + 5) = 4(w + 3) Reorder the terms: 2(5 + 2x) = 4(w + 3) (5 * 2 + 2x * 2) = 4(w + 3) (10 + 4x) = 4(w + 3) Reorder the terms: 10 + 4x = 4(3 + w) 10 + 4x = (3 * 4 + w * 4) 10 + 4x = (12 + 4w) Solving 10 + 4x = 12 + 4w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 12 + -10 + 4w Combine like terms: 10 + -10 = 0 0 + 4x = 12 + -10 + 4w 4x = 12 + -10 + 4w Combine like terms: 12 + -10 = 2 4x = 2 + 4w Divide each side by '4'. x = 0.5 + w Simplifying x = 0.5 + w
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