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Simplifying 3x + -5a + -2 = 6a + -7 Reorder the terms: -2 + -5a + 3x = 6a + -7 Reorder the terms: -2 + -5a + 3x = -7 + 6a Solving -2 + -5a + 3x = -7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -2 + -5a + -6a + 3x = -7 + 6a + -6a Combine like terms: -5a + -6a = -11a -2 + -11a + 3x = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 -2 + -11a + 3x = -7 + 0 -2 + -11a + 3x = -7 Add '2' to each side of the equation. -2 + -11a + 2 + 3x = -7 + 2 Reorder the terms: -2 + 2 + -11a + 3x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -11a + 3x = -7 + 2 -11a + 3x = -7 + 2 Combine like terms: -7 + 2 = -5 -11a + 3x = -5 Add '-3x' to each side of the equation. -11a + 3x + -3x = -5 + -3x Combine like terms: 3x + -3x = 0 -11a + 0 = -5 + -3x -11a = -5 + -3x Divide each side by '-11'. a = 0.4545454545 + 0.2727272727x Simplifying a = 0.4545454545 + 0.2727272727x
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