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Simplifying 8x + a + -12 = 4x + -13 + -5x Reorder the terms: -12 + a + 8x = 4x + -13 + -5x Reorder the terms: -12 + a + 8x = -13 + 4x + -5x Combine like terms: 4x + -5x = -1x -12 + a + 8x = -13 + -1x Solving -12 + a + 8x = -13 + -1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + a + 12 + 8x = -13 + 12 + -1x Reorder the terms: -12 + 12 + a + 8x = -13 + 12 + -1x Combine like terms: -12 + 12 = 0 0 + a + 8x = -13 + 12 + -1x a + 8x = -13 + 12 + -1x Combine like terms: -13 + 12 = -1 a + 8x = -1 + -1x Add '-8x' to each side of the equation. a + 8x + -8x = -1 + -1x + -8x Combine like terms: 8x + -8x = 0 a + 0 = -1 + -1x + -8x a = -1 + -1x + -8x Combine like terms: -1x + -8x = -9x a = -1 + -9x Simplifying a = -1 + -9x
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