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Simplifying 6 + -4(2x + 1) = 10w + -4(10 + w) Reorder the terms: 6 + -4(1 + 2x) = 10w + -4(10 + w) 6 + (1 * -4 + 2x * -4) = 10w + -4(10 + w) 6 + (-4 + -8x) = 10w + -4(10 + w) Combine like terms: 6 + -4 = 2 2 + -8x = 10w + -4(10 + w) 2 + -8x = 10w + (10 * -4 + w * -4) 2 + -8x = 10w + (-40 + -4w) Reorder the terms: 2 + -8x = -40 + 10w + -4w Combine like terms: 10w + -4w = 6w 2 + -8x = -40 + 6w Solving 2 + -8x = -40 + 6w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8x = -40 + -2 + 6w Combine like terms: 2 + -2 = 0 0 + -8x = -40 + -2 + 6w -8x = -40 + -2 + 6w Combine like terms: -40 + -2 = -42 -8x = -42 + 6w Divide each side by '-8'. x = 5.25 + -0.75w Simplifying x = 5.25 + -0.75w
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