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Simplifying -1(-1x + w) + -2(-4w + 5x) = 0 Reorder the terms: -1(w + -1x) + -2(-4w + 5x) = 0 (w * -1 + -1x * -1) + -2(-4w + 5x) = 0 (-1w + 1x) + -2(-4w + 5x) = 0 -1w + 1x + (-4w * -2 + 5x * -2) = 0 -1w + 1x + (8w + -10x) = 0 Reorder the terms: -1w + 8w + 1x + -10x = 0 Combine like terms: -1w + 8w = 7w 7w + 1x + -10x = 0 Combine like terms: 1x + -10x = -9x 7w + -9x = 0 Solving 7w + -9x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9x' to each side of the equation. 7w + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 7w + 0 = 0 + 9x 7w = 0 + 9x Remove the zero: 7w = 9x Divide each side by '7'. w = 1.285714286x Simplifying w = 1.285714286x
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