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Simplifying 7x + 5a = -2a + 4x Reorder the terms: 5a + 7x = -2a + 4x Solving 5a + 7x = -2a + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5a + 2a + 7x = -2a + 2a + 4x Combine like terms: 5a + 2a = 7a 7a + 7x = -2a + 2a + 4x Combine like terms: -2a + 2a = 0 7a + 7x = 0 + 4x 7a + 7x = 4x Add '-7x' to each side of the equation. 7a + 7x + -7x = 4x + -7x Combine like terms: 7x + -7x = 0 7a + 0 = 4x + -7x 7a = 4x + -7x Combine like terms: 4x + -7x = -3x 7a = -3x Divide each side by '7'. a = -0.4285714286x Simplifying a = -0.4285714286x
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