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Simplifying 0.667(x + -4) = 0.33(0.5p + 3) + 6 Reorder the terms: 0.667(-4 + x) = 0.33(0.5p + 3) + 6 (-4 * 0.667 + x * 0.667) = 0.33(0.5p + 3) + 6 (-2.668 + 0.667x) = 0.33(0.5p + 3) + 6 Reorder the terms: -2.668 + 0.667x = 0.33(3 + 0.5p) + 6 -2.668 + 0.667x = (3 * 0.33 + 0.5p * 0.33) + 6 -2.668 + 0.667x = (0.99 + 0.165p) + 6 Reorder the terms: -2.668 + 0.667x = 0.99 + 6 + 0.165p Combine like terms: 0.99 + 6 = 6.99 -2.668 + 0.667x = 6.99 + 0.165p Solving -2.668 + 0.667x = 6.99 + 0.165p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.668' to each side of the equation. -2.668 + 2.668 + 0.667x = 6.99 + 2.668 + 0.165p Combine like terms: -2.668 + 2.668 = 0.000 0.000 + 0.667x = 6.99 + 2.668 + 0.165p 0.667x = 6.99 + 2.668 + 0.165p Combine like terms: 6.99 + 2.668 = 9.658 0.667x = 9.658 + 0.165p Divide each side by '0.667'. x = 14.47976012 + 0.2473763118p Simplifying x = 14.47976012 + 0.2473763118p
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