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Simplifying 2x + 7 + -6x + 9 = -12 Reorder the terms: 7 + 9 + 2x + -6x = -12 Combine like terms: 7 + 9 = 16 16 + 2x + -6x = -12 Combine like terms: 2x + -6x = -4x 16 + -4x = -12 Solving 16 + -4x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4x = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -12 + -16 -4x = -12 + -16 Combine like terms: -12 + -16 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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