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Simplifying 2(x) + 2(w) = 10 + 4(x + -1w) Reorder the terms: 2w + 2x = 10 + 4(x + -1w) Reorder the terms: 2w + 2x = 10 + 4(-1w + x) 2w + 2x = 10 + (-1w * 4 + x * 4) 2w + 2x = 10 + (-4w + 4x) Solving 2w + 2x = 10 + -4w + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 2w + 4w + 2x = 10 + -4w + 4w + 4x Combine like terms: 2w + 4w = 6w 6w + 2x = 10 + -4w + 4w + 4x Combine like terms: -4w + 4w = 0 6w + 2x = 10 + 0 + 4x 6w + 2x = 10 + 4x Add '-2x' to each side of the equation. 6w + 2x + -2x = 10 + 4x + -2x Combine like terms: 2x + -2x = 0 6w + 0 = 10 + 4x + -2x 6w = 10 + 4x + -2x Combine like terms: 4x + -2x = 2x 6w = 10 + 2x Divide each side by '6'. w = 1.666666667 + 0.3333333333x Simplifying w = 1.666666667 + 0.3333333333x
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