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Simplifying 2x + 5x + 2 + -8 + 21a = 0 Reorder the terms: 2 + -8 + 21a + 2x + 5x = 0 Combine like terms: 2 + -8 = -6 -6 + 21a + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -6 + 21a + 7x = 0 Solving -6 + 21a + 7x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 21a + 6 + 7x = 0 + 6 Reorder the terms: -6 + 6 + 21a + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 21a + 7x = 0 + 6 21a + 7x = 0 + 6 Combine like terms: 0 + 6 = 6 21a + 7x = 6 Add '-7x' to each side of the equation. 21a + 7x + -7x = 6 + -7x Combine like terms: 7x + -7x = 0 21a + 0 = 6 + -7x 21a = 6 + -7x Divide each side by '21'. a = 0.2857142857 + -0.3333333333x Simplifying a = 0.2857142857 + -0.3333333333x
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