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Simplifying 4w + x + 37 = 8w + 6x Reorder the terms: 37 + 4w + x = 8w + 6x Solving 37 + 4w + x = 8w + 6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 37 + 4w + -8w + x = 8w + -8w + 6x Combine like terms: 4w + -8w = -4w 37 + -4w + x = 8w + -8w + 6x Combine like terms: 8w + -8w = 0 37 + -4w + x = 0 + 6x 37 + -4w + x = 6x Add '-37' to each side of the equation. 37 + -4w + -37 + x = -37 + 6x Reorder the terms: 37 + -37 + -4w + x = -37 + 6x Combine like terms: 37 + -37 = 0 0 + -4w + x = -37 + 6x -4w + x = -37 + 6x Add '-1x' to each side of the equation. -4w + x + -1x = -37 + 6x + -1x Combine like terms: x + -1x = 0 -4w + 0 = -37 + 6x + -1x -4w = -37 + 6x + -1x Combine like terms: 6x + -1x = 5x -4w = -37 + 5x Divide each side by '-4'. w = 9.25 + -1.25x Simplifying w = 9.25 + -1.25x
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