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Simplifying 8(w + -1) + -2x = (x + 50) Reorder the terms: 8(-1 + w) + -2x = (x + 50) (-1 * 8 + w * 8) + -2x = (x + 50) (-8 + 8w) + -2x = (x + 50) Reorder the terms: -8 + 8w + -2x = (50 + x) Remove parenthesis around (50 + x) -8 + 8w + -2x = 50 + x Solving -8 + 8w + -2x = 50 + x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8w + 8 + -2x = 50 + 8 + x Reorder the terms: -8 + 8 + 8w + -2x = 50 + 8 + x Combine like terms: -8 + 8 = 0 0 + 8w + -2x = 50 + 8 + x 8w + -2x = 50 + 8 + x Combine like terms: 50 + 8 = 58 8w + -2x = 58 + x Add '2x' to each side of the equation. 8w + -2x + 2x = 58 + x + 2x Combine like terms: -2x + 2x = 0 8w + 0 = 58 + x + 2x 8w = 58 + x + 2x Combine like terms: x + 2x = 3x 8w = 58 + 3x Divide each side by '8'. w = 7.25 + 0.375x Simplifying w = 7.25 + 0.375x
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