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Simplifying (3w + 10) + -5x = 6x + -50 Reorder the terms: (10 + 3w) + -5x = 6x + -50 Remove parenthesis around (10 + 3w) 10 + 3w + -5x = 6x + -50 Reorder the terms: 10 + 3w + -5x = -50 + 6x Solving 10 + 3w + -5x = -50 + 6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3w + -10 + -5x = -50 + -10 + 6x Reorder the terms: 10 + -10 + 3w + -5x = -50 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + 3w + -5x = -50 + -10 + 6x 3w + -5x = -50 + -10 + 6x Combine like terms: -50 + -10 = -60 3w + -5x = -60 + 6x Add '5x' to each side of the equation. 3w + -5x + 5x = -60 + 6x + 5x Combine like terms: -5x + 5x = 0 3w + 0 = -60 + 6x + 5x 3w = -60 + 6x + 5x Combine like terms: 6x + 5x = 11x 3w = -60 + 11x Divide each side by '3'. w = -20 + 3.666666667x Simplifying w = -20 + 3.666666667x
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