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Simplifying 2a + 5a + 7a + 2x + 4 + 6 = 0 Reorder the terms: 4 + 6 + 2a + 5a + 7a + 2x = 0 Combine like terms: 4 + 6 = 10 10 + 2a + 5a + 7a + 2x = 0 Combine like terms: 2a + 5a = 7a 10 + 7a + 7a + 2x = 0 Combine like terms: 7a + 7a = 14a 10 + 14a + 2x = 0 Solving 10 + 14a + 2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 14a + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + 14a + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14a + 2x = 0 + -10 14a + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 14a + 2x = -10 Add '-2x' to each side of the equation. 14a + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 14a + 0 = -10 + -2x 14a = -10 + -2x Divide each side by '14'. a = -0.7142857143 + -0.1428571429x Simplifying a = -0.7142857143 + -0.1428571429x
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