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Simplifying -3 + 12x + -7 = 14 + 14x + -22 Reorder the terms: -3 + -7 + 12x = 14 + 14x + -22 Combine like terms: -3 + -7 = -10 -10 + 12x = 14 + 14x + -22 Reorder the terms: -10 + 12x = 14 + -22 + 14x Combine like terms: 14 + -22 = -8 -10 + 12x = -8 + 14x Solving -10 + 12x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -10 + 12x + -14x = -8 + 14x + -14x Combine like terms: 12x + -14x = -2x -10 + -2x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + -2x = -8 + 0 -10 + -2x = -8 Add '10' to each side of the equation. -10 + 10 + -2x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -8 + 10 -2x = -8 + 10 Combine like terms: -8 + 10 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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