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Simplifying 4x + -2x + 5b + -6a + 7b + -12b = 0 Reorder the terms: -6a + 5b + 7b + -12b + 4x + -2x = 0 Combine like terms: 5b + 7b = 12b -6a + 12b + -12b + 4x + -2x = 0 Combine like terms: 12b + -12b = 0 -6a + 0 + 4x + -2x = 0 -6a + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -6a + 2x = 0 Solving -6a + 2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. -6a + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -6a + 0 = 0 + -2x -6a = 0 + -2x Remove the zero: -6a = -2x Divide each side by '-6'. a = 0.3333333333x Simplifying a = 0.3333333333x
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