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Simplifying 46x + 2y + 7z = 43a + 18b Solving 46x + 2y + 7z = 43a + 18b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 46x + 2y + -2y + 7z = 43a + 18b + -2y Combine like terms: 2y + -2y = 0 46x + 0 + 7z = 43a + 18b + -2y 46x + 7z = 43a + 18b + -2y Add '-7z' to each side of the equation. 46x + 7z + -7z = 43a + 18b + -2y + -7z Combine like terms: 7z + -7z = 0 46x + 0 = 43a + 18b + -2y + -7z 46x = 43a + 18b + -2y + -7z Divide each side by '46'. x = 0.9347826087a + 0.3913043478b + -0.04347826087y + -0.152173913z Simplifying x = 0.9347826087a + 0.3913043478b + -0.04347826087y + -0.152173913z
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