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Simplifying 0.75(1.2x + -1.6) = 0.8(w + 2) Reorder the terms: 0.75(-1.6 + 1.2x) = 0.8(w + 2) (-1.6 * 0.75 + 1.2x * 0.75) = 0.8(w + 2) (-1.2 + 0.9x) = 0.8(w + 2) Reorder the terms: -1.2 + 0.9x = 0.8(2 + w) -1.2 + 0.9x = (2 * 0.8 + w * 0.8) -1.2 + 0.9x = (1.6 + 0.8w) Solving -1.2 + 0.9x = 1.6 + 0.8w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.9x = 1.6 + 1.2 + 0.8w Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.9x = 1.6 + 1.2 + 0.8w 0.9x = 1.6 + 1.2 + 0.8w Combine like terms: 1.6 + 1.2 = 2.8 0.9x = 2.8 + 0.8w Divide each side by '0.9'. x = 3.111111111 + 0.8888888889w Simplifying x = 3.111111111 + 0.8888888889w
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