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Simplifying 3(w + 2) + 2x = 7(w + -1) + 9 Reorder the terms: 3(2 + w) + 2x = 7(w + -1) + 9 (2 * 3 + w * 3) + 2x = 7(w + -1) + 9 (6 + 3w) + 2x = 7(w + -1) + 9 Reorder the terms: 6 + 3w + 2x = 7(-1 + w) + 9 6 + 3w + 2x = (-1 * 7 + w * 7) + 9 6 + 3w + 2x = (-7 + 7w) + 9 Reorder the terms: 6 + 3w + 2x = -7 + 9 + 7w Combine like terms: -7 + 9 = 2 6 + 3w + 2x = 2 + 7w Solving 6 + 3w + 2x = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 6 + 3w + -7w + 2x = 2 + 7w + -7w Combine like terms: 3w + -7w = -4w 6 + -4w + 2x = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 6 + -4w + 2x = 2 + 0 6 + -4w + 2x = 2 Add '-6' to each side of the equation. 6 + -4w + -6 + 2x = 2 + -6 Reorder the terms: 6 + -6 + -4w + 2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -4w + 2x = 2 + -6 -4w + 2x = 2 + -6 Combine like terms: 2 + -6 = -4 -4w + 2x = -4 Add '-2x' to each side of the equation. -4w + 2x + -2x = -4 + -2x Combine like terms: 2x + -2x = 0 -4w + 0 = -4 + -2x -4w = -4 + -2x Divide each side by '-4'. w = 1 + 0.5x Simplifying w = 1 + 0.5x
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