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Simplifying 3(a + -4x) + 7(2x + -1a) + -5(3x + 2a) + a = 0 (a * 3 + -4x * 3) + 7(2x + -1a) + -5(3x + 2a) + a = 0 (3a + -12x) + 7(2x + -1a) + -5(3x + 2a) + a = 0 Reorder the terms: 3a + -12x + 7(-1a + 2x) + -5(3x + 2a) + a = 0 3a + -12x + (-1a * 7 + 2x * 7) + -5(3x + 2a) + a = 0 3a + -12x + (-7a + 14x) + -5(3x + 2a) + a = 0 Reorder the terms: 3a + -12x + -7a + 14x + -5(2a + 3x) + a = 0 3a + -12x + -7a + 14x + (2a * -5 + 3x * -5) + a = 0 3a + -12x + -7a + 14x + (-10a + -15x) + a = 0 Reorder the terms: 3a + -7a + -10a + a + -12x + 14x + -15x = 0 Combine like terms: 3a + -7a = -4a -4a + -10a + a + -12x + 14x + -15x = 0 Combine like terms: -4a + -10a = -14a -14a + a + -12x + 14x + -15x = 0 Combine like terms: -14a + a = -13a -13a + -12x + 14x + -15x = 0 Combine like terms: -12x + 14x = 2x -13a + 2x + -15x = 0 Combine like terms: 2x + -15x = -13x -13a + -13x = 0 Solving -13a + -13x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13x' to each side of the equation. -13a + -13x + 13x = 0 + 13x Combine like terms: -13x + 13x = 0 -13a + 0 = 0 + 13x -13a = 0 + 13x Remove the zero: -13a = 13x Divide each side by '-13'. a = -1x Simplifying a = -1x
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