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Simplifying 3w + -5 + 2x = 46 Reorder the terms: -5 + 3w + 2x = 46 Solving -5 + 3w + 2x = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3w + 5 + 2x = 46 + 5 Reorder the terms: -5 + 5 + 3w + 2x = 46 + 5 Combine like terms: -5 + 5 = 0 0 + 3w + 2x = 46 + 5 3w + 2x = 46 + 5 Combine like terms: 46 + 5 = 51 3w + 2x = 51 Add '-2x' to each side of the equation. 3w + 2x + -2x = 51 + -2x Combine like terms: 2x + -2x = 0 3w + 0 = 51 + -2x 3w = 51 + -2x Divide each side by '3'. w = 17 + -0.6666666667x Simplifying w = 17 + -0.6666666667x
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