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Simplifying 3(x + 2) + 4 = 5(w + -1) + w Reorder the terms: 3(2 + x) + 4 = 5(w + -1) + w (2 * 3 + x * 3) + 4 = 5(w + -1) + w (6 + 3x) + 4 = 5(w + -1) + w Reorder the terms: 6 + 4 + 3x = 5(w + -1) + w Combine like terms: 6 + 4 = 10 10 + 3x = 5(w + -1) + w Reorder the terms: 10 + 3x = 5(-1 + w) + w 10 + 3x = (-1 * 5 + w * 5) + w 10 + 3x = (-5 + 5w) + w Combine like terms: 5w + w = 6w 10 + 3x = -5 + 6w Solving 10 + 3x = -5 + 6w 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 + 3x = -5 + -10 + 6w Combine like terms: 10 + -10 = 0 0 + 3x = -5 + -10 + 6w 3x = -5 + -10 + 6w Combine like terms: -5 + -10 = -15 3x = -15 + 6w Divide each side by '3'. x = -5 + 2w Simplifying x = -5 + 2w
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