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Simplifying 6x + 17 + -5x = -3 + -12 Reorder the terms: 17 + 6x + -5x = -3 + -12 Combine like terms: 6x + -5x = 1x 17 + 1x = -3 + -12 Combine like terms: -3 + -12 = -15 17 + 1x = -15 Solving 17 + 1x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = -15 + -17 1x = -15 + -17 Combine like terms: -15 + -17 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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