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Simplifying 2x + 5 + 7x + -6 + -7x + -4 = 12 Reorder the terms: 5 + -6 + -4 + 2x + 7x + -7x = 12 Combine like terms: 5 + -6 = -1 -1 + -4 + 2x + 7x + -7x = 12 Combine like terms: -1 + -4 = -5 -5 + 2x + 7x + -7x = 12 Combine like terms: 2x + 7x = 9x -5 + 9x + -7x = 12 Combine like terms: 9x + -7x = 2x -5 + 2x = 12 Solving -5 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 12 + 5 2x = 12 + 5 Combine like terms: 12 + 5 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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