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Simplifying 2 + -2ax + 5x + -12 = 0 Reorder the terms: 2 + -12 + -2ax + 5x = 0 Combine like terms: 2 + -12 = -10 -10 + -2ax + 5x = 0 Solving -10 + -2ax + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2ax + 10 + 5x = 0 + 10 Reorder the terms: -10 + 10 + -2ax + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2ax + 5x = 0 + 10 -2ax + 5x = 0 + 10 Combine like terms: 0 + 10 = 10 -2ax + 5x = 10 Add '-5x' to each side of the equation. -2ax + 5x + -5x = 10 + -5x Combine like terms: 5x + -5x = 0 -2ax + 0 = 10 + -5x -2ax = 10 + -5x Divide each side by '-2x'. a = -5x-1 + 2.5 Simplifying a = -5x-1 + 2.5 Reorder the terms: a = 2.5 + -5x-1
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