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Simplifying -5x + 12 + -7x = 2 + 3x + -14x + 10 Reorder the terms: 12 + -5x + -7x = 2 + 3x + -14x + 10 Combine like terms: -5x + -7x = -12x 12 + -12x = 2 + 3x + -14x + 10 Reorder the terms: 12 + -12x = 2 + 10 + 3x + -14x Combine like terms: 2 + 10 = 12 12 + -12x = 12 + 3x + -14x Combine like terms: 3x + -14x = -11x 12 + -12x = 12 + -11x Add '-12' to each side of the equation. 12 + -12 + -12x = 12 + -12 + -11x Combine like terms: 12 + -12 = 0 0 + -12x = 12 + -12 + -11x -12x = 12 + -12 + -11x Combine like terms: 12 + -12 = 0 -12x = 0 + -11x -12x = -11x Solving -12x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -12x + 11x = -11x + 11x Combine like terms: -12x + 11x = -1x -1x = -11x + 11x Combine like terms: -11x + 11x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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