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Simplifying 5a + -2c + 7 + -1(6a + -3x + 2) = 0 Reorder the terms: 5a + -2c + 7 + -1(2 + 6a + -3x) = 0 5a + -2c + 7 + (2 * -1 + 6a * -1 + -3x * -1) = 0 5a + -2c + 7 + (-2 + -6a + 3x) = 0 Reorder the terms: 7 + -2 + 5a + -6a + -2c + 3x = 0 Combine like terms: 7 + -2 = 5 5 + 5a + -6a + -2c + 3x = 0 Combine like terms: 5a + -6a = -1a 5 + -1a + -2c + 3x = 0 Solving 5 + -1a + -2c + 3x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1a + -2c + -5 + 3x = 0 + -5 Reorder the terms: 5 + -5 + -1a + -2c + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + -2c + 3x = 0 + -5 -1a + -2c + 3x = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + -2c + 3x = -5 Add '2c' to each side of the equation. -1a + -2c + 2c + 3x = -5 + 2c Combine like terms: -2c + 2c = 0 -1a + 0 + 3x = -5 + 2c -1a + 3x = -5 + 2c Add '-3x' to each side of the equation. -1a + 3x + -3x = -5 + 2c + -3x Combine like terms: 3x + -3x = 0 -1a + 0 = -5 + 2c + -3x -1a = -5 + 2c + -3x Divide each side by '-1'. a = 5 + -2c + 3x Simplifying a = 5 + -2c + 3x
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