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Simplifying 5x + -12 + a + -3x = 2x + -8 Reorder the terms: -12 + a + 5x + -3x = 2x + -8 Combine like terms: 5x + -3x = 2x -12 + a + 2x = 2x + -8 Reorder the terms: -12 + a + 2x = -8 + 2x Add '-2x' to each side of the equation. -12 + a + 2x + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + a + 0 = -8 + 2x + -2x -12 + a = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + a = -8 + 0 -12 + a = -8 Solving -12 + a = -8 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 + 12 + a = -8 + 12 Combine like terms: -12 + 12 = 0 0 + a = -8 + 12 a = -8 + 12 Combine like terms: -8 + 12 = 4 a = 4 Simplifying a = 4
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