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Simplifying x = 0.4(2a + -1b) + 0.66(a + 2b) x = (2a * 0.4 + -1b * 0.4) + 0.66(a + 2b) x = (0.8a + -0.4b) + 0.66(a + 2b) x = 0.8a + -0.4b + (a * 0.66 + 2b * 0.66) x = 0.8a + -0.4b + (0.66a + 1.32b) Reorder the terms: x = 0.8a + 0.66a + -0.4b + 1.32b Combine like terms: 0.8a + 0.66a = 1.46a x = 1.46a + -0.4b + 1.32b Combine like terms: -0.4b + 1.32b = 0.92b x = 1.46a + 0.92b Solving x = 1.46a + 0.92b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x = 1.46a + 0.92b
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