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Simplifying 7a + -3c + -4x + -1(5a + -8c + -2x) = 0 7a + -3c + -4x + (5a * -1 + -8c * -1 + -2x * -1) = 0 7a + -3c + -4x + (-5a + 8c + 2x) = 0 Reorder the terms: 7a + -5a + -3c + 8c + -4x + 2x = 0 Combine like terms: 7a + -5a = 2a 2a + -3c + 8c + -4x + 2x = 0 Combine like terms: -3c + 8c = 5c 2a + 5c + -4x + 2x = 0 Combine like terms: -4x + 2x = -2x 2a + 5c + -2x = 0 Solving 2a + 5c + -2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 2a + 5c + -5c + -2x = 0 + -5c Combine like terms: 5c + -5c = 0 2a + 0 + -2x = 0 + -5c 2a + -2x = 0 + -5c Remove the zero: 2a + -2x = -5c Add '2x' to each side of the equation. 2a + -2x + 2x = -5c + 2x Combine like terms: -2x + 2x = 0 2a + 0 = -5c + 2x 2a = -5c + 2x Divide each side by '2'. a = -2.5c + x Simplifying a = -2.5c + x
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