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Simplifying 5(x + 4) = 7(w + -2) Reorder the terms: 5(4 + x) = 7(w + -2) (4 * 5 + x * 5) = 7(w + -2) (20 + 5x) = 7(w + -2) Reorder the terms: 20 + 5x = 7(-2 + w) 20 + 5x = (-2 * 7 + w * 7) 20 + 5x = (-14 + 7w) Solving 20 + 5x = -14 + 7w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = -14 + -20 + 7w Combine like terms: 20 + -20 = 0 0 + 5x = -14 + -20 + 7w 5x = -14 + -20 + 7w Combine like terms: -14 + -20 = -34 5x = -34 + 7w Divide each side by '5'. x = -6.8 + 1.4w Simplifying x = -6.8 + 1.4w
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