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Simplifying 7x + 15 + -6x = -5 + -12 Reorder the terms: 15 + 7x + -6x = -5 + -12 Combine like terms: 7x + -6x = 1x 15 + 1x = -5 + -12 Combine like terms: -5 + -12 = -17 15 + 1x = -17 Solving 15 + 1x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = -17 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -17 + -15 1x = -17 + -15 Combine like terms: -17 + -15 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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