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Simplifying -7(w + -2) = 5(3 + -1x) Reorder the terms: -7(-2 + w) = 5(3 + -1x) (-2 * -7 + w * -7) = 5(3 + -1x) (14 + -7w) = 5(3 + -1x) 14 + -7w = (3 * 5 + -1x * 5) 14 + -7w = (15 + -5x) Solving 14 + -7w = 15 + -5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7w = 15 + -14 + -5x Combine like terms: 14 + -14 = 0 0 + -7w = 15 + -14 + -5x -7w = 15 + -14 + -5x Combine like terms: 15 + -14 = 1 -7w = 1 + -5x Divide each side by '-7'. w = -0.1428571429 + 0.7142857143x Simplifying w = -0.1428571429 + 0.7142857143x
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