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Simplifying 3w + w + -2x + 50 = w + 30 + 6w + x + -49 Reorder the terms: 50 + 3w + w + -2x = w + 30 + 6w + x + -49 Combine like terms: 3w + w = 4w 50 + 4w + -2x = w + 30 + 6w + x + -49 Reorder the terms: 50 + 4w + -2x = 30 + -49 + w + 6w + x Combine like terms: 30 + -49 = -19 50 + 4w + -2x = -19 + w + 6w + x Combine like terms: w + 6w = 7w 50 + 4w + -2x = -19 + 7w + x Solving 50 + 4w + -2x = -19 + 7w + x 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. 50 + 4w + -7w + -2x = -19 + 7w + -7w + x Combine like terms: 4w + -7w = -3w 50 + -3w + -2x = -19 + 7w + -7w + x Combine like terms: 7w + -7w = 0 50 + -3w + -2x = -19 + 0 + x 50 + -3w + -2x = -19 + x Add '-50' to each side of the equation. 50 + -3w + -50 + -2x = -19 + -50 + x Reorder the terms: 50 + -50 + -3w + -2x = -19 + -50 + x Combine like terms: 50 + -50 = 0 0 + -3w + -2x = -19 + -50 + x -3w + -2x = -19 + -50 + x Combine like terms: -19 + -50 = -69 -3w + -2x = -69 + x Add '2x' to each side of the equation. -3w + -2x + 2x = -69 + x + 2x Combine like terms: -2x + 2x = 0 -3w + 0 = -69 + x + 2x -3w = -69 + x + 2x Combine like terms: x + 2x = 3x -3w = -69 + 3x Divide each side by '-3'. w = 23 + -1x Simplifying w = 23 + -1x
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