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Simplifying -5 + -12 = 7x + 14 + -6x Combine like terms: -5 + -12 = -17 -17 = 7x + 14 + -6x Reorder the terms: -17 = 14 + 7x + -6x Combine like terms: 7x + -6x = 1x -17 = 14 + 1x Solving -17 = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -1x = 14 + 0 -17 + -1x = 14 Add '17' to each side of the equation. -17 + 17 + -1x = 14 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 14 + 17 -1x = 14 + 17 Combine like terms: 14 + 17 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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