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Simplifying 12x + -4x + -7x + 2x + -2 = 13 Reorder the terms: -2 + 12x + -4x + -7x + 2x = 13 Combine like terms: 12x + -4x = 8x -2 + 8x + -7x + 2x = 13 Combine like terms: 8x + -7x = 1x -2 + 1x + 2x = 13 Combine like terms: 1x + 2x = 3x -2 + 3x = 13 Solving -2 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 13 + 2 3x = 13 + 2 Combine like terms: 13 + 2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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