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Simplifying 8 + -3[a + -4x] = -1a + 2x 8 + [a * -3 + -4x * -3] = -1a + 2x 8 + [-3a + 12x] = -1a + 2x Solving 8 + -3a + 12x = -1a + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 8 + -3a + a + 12x = -1a + a + 2x Combine like terms: -3a + a = -2a 8 + -2a + 12x = -1a + a + 2x Combine like terms: -1a + a = 0 8 + -2a + 12x = 0 + 2x 8 + -2a + 12x = 2x Add '-8' to each side of the equation. 8 + -2a + -8 + 12x = -8 + 2x Reorder the terms: 8 + -8 + -2a + 12x = -8 + 2x Combine like terms: 8 + -8 = 0 0 + -2a + 12x = -8 + 2x -2a + 12x = -8 + 2x Add '-12x' to each side of the equation. -2a + 12x + -12x = -8 + 2x + -12x Combine like terms: 12x + -12x = 0 -2a + 0 = -8 + 2x + -12x -2a = -8 + 2x + -12x Combine like terms: 2x + -12x = -10x -2a = -8 + -10x Divide each side by '-2'. a = 4 + 5x Simplifying a = 4 + 5x
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