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Simplifying 7x + -6x + 12 = 13 + -5 Reorder the terms: 12 + 7x + -6x = 13 + -5 Combine like terms: 7x + -6x = 1x 12 + 1x = 13 + -5 Combine like terms: 13 + -5 = 8 12 + 1x = 8 Solving 12 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 8 + -12 1x = 8 + -12 Combine like terms: 8 + -12 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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