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Simplifying 6x + 7 + -2x + 4 = -12 + -20 + -17 Reorder the terms: 7 + 4 + 6x + -2x = -12 + -20 + -17 Combine like terms: 7 + 4 = 11 11 + 6x + -2x = -12 + -20 + -17 Combine like terms: 6x + -2x = 4x 11 + 4x = -12 + -20 + -17 Combine like terms: -12 + -20 = -32 11 + 4x = -32 + -17 Combine like terms: -32 + -17 = -49 11 + 4x = -49 Solving 11 + 4x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = -49 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -49 + -11 4x = -49 + -11 Combine like terms: -49 + -11 = -60 4x = -60 Divide each side by '4'. x = -15 Simplifying x = -15
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