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Simplifying 8 + -4w + 2w + 5 + x + x + x = 180 Reorder the terms: 8 + 5 + -4w + 2w + x + x + x = 180 Combine like terms: 8 + 5 = 13 13 + -4w + 2w + x + x + x = 180 Combine like terms: -4w + 2w = -2w 13 + -2w + x + x + x = 180 Combine like terms: x + x = 2x 13 + -2w + 2x + x = 180 Combine like terms: 2x + x = 3x 13 + -2w + 3x = 180 Solving 13 + -2w + 3x = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -2w + -13 + 3x = 180 + -13 Reorder the terms: 13 + -13 + -2w + 3x = 180 + -13 Combine like terms: 13 + -13 = 0 0 + -2w + 3x = 180 + -13 -2w + 3x = 180 + -13 Combine like terms: 180 + -13 = 167 -2w + 3x = 167 Add '-3x' to each side of the equation. -2w + 3x + -3x = 167 + -3x Combine like terms: 3x + -3x = 0 -2w + 0 = 167 + -3x -2w = 167 + -3x Divide each side by '-2'. w = -83.5 + 1.5x Simplifying w = -83.5 + 1.5x
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