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Simplifying 7x + 46z + 2y = 43a + 18b Reorder the terms: 7x + 2y + 46z = 43a + 18b Solving 7x + 2y + 46z = 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. 7x + 2y + -2y + 46z = 43a + 18b + -2y Combine like terms: 2y + -2y = 0 7x + 0 + 46z = 43a + 18b + -2y 7x + 46z = 43a + 18b + -2y Add '-46z' to each side of the equation. 7x + 46z + -46z = 43a + 18b + -2y + -46z Combine like terms: 46z + -46z = 0 7x + 0 = 43a + 18b + -2y + -46z 7x = 43a + 18b + -2y + -46z Divide each side by '7'. x = 6.142857143a + 2.571428571b + -0.2857142857y + -6.571428571z Simplifying x = 6.142857143a + 2.571428571b + -0.2857142857y + -6.571428571z
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