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Simplifying a + -8x + -78 = x + -9x Reorder the terms: -78 + a + -8x = x + -9x Combine like terms: x + -9x = -8x -78 + a + -8x = -8x Add '8x' to each side of the equation. -78 + a + -8x + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -78 + a + 0 = -8x + 8x -78 + a = -8x + 8x Combine like terms: -8x + 8x = 0 -78 + a = 0 Solving -78 + a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + a = 0 + 78 Combine like terms: -78 + 78 = 0 0 + a = 0 + 78 a = 0 + 78 Combine like terms: 0 + 78 = 78 a = 78 Simplifying a = 78
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