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Simplifying 7x + [-5(3 + -1x)] + -1a = 12 + 3x 7x + [(3 * -5 + -1x * -5)] + -1a = 12 + 3x 7x + [(-15 + 5x)] + -1a = 12 + 3x 7x + [-15 + 5x] + -1a = 12 + 3x Remove brackets around [-15 + 5x] 7x + -15 + 5x + -1a = 12 + 3x Reorder the terms: -15 + -1a + 7x + 5x = 12 + 3x Combine like terms: 7x + 5x = 12x -15 + -1a + 12x = 12 + 3x Solving -15 + -1a + 12x = 12 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -1a + 15 + 12x = 12 + 15 + 3x Reorder the terms: -15 + 15 + -1a + 12x = 12 + 15 + 3x Combine like terms: -15 + 15 = 0 0 + -1a + 12x = 12 + 15 + 3x -1a + 12x = 12 + 15 + 3x Combine like terms: 12 + 15 = 27 -1a + 12x = 27 + 3x Add '-12x' to each side of the equation. -1a + 12x + -12x = 27 + 3x + -12x Combine like terms: 12x + -12x = 0 -1a + 0 = 27 + 3x + -12x -1a = 27 + 3x + -12x Combine like terms: 3x + -12x = -9x -1a = 27 + -9x Divide each side by '-1'. a = -27 + 9x Simplifying a = -27 + 9x
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