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Simplifying 5(x + -1) + 2w = 6x + -2 Reorder the terms: 5(-1 + x) + 2w = 6x + -2 (-1 * 5 + x * 5) + 2w = 6x + -2 (-5 + 5x) + 2w = 6x + -2 Reorder the terms: -5 + 2w + 5x = 6x + -2 Reorder the terms: -5 + 2w + 5x = -2 + 6x Solving -5 + 2w + 5x = -2 + 6x 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 + 2w + 5 + 5x = -2 + 5 + 6x Reorder the terms: -5 + 5 + 2w + 5x = -2 + 5 + 6x Combine like terms: -5 + 5 = 0 0 + 2w + 5x = -2 + 5 + 6x 2w + 5x = -2 + 5 + 6x Combine like terms: -2 + 5 = 3 2w + 5x = 3 + 6x Add '-5x' to each side of the equation. 2w + 5x + -5x = 3 + 6x + -5x Combine like terms: 5x + -5x = 0 2w + 0 = 3 + 6x + -5x 2w = 3 + 6x + -5x Combine like terms: 6x + -5x = 1x 2w = 3 + 1x Divide each side by '2'. w = 1.5 + 0.5x Simplifying w = 1.5 + 0.5x
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