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Simplifying 7 + -12x + -6 = 12x + 18 + -17 Reorder the terms: 7 + -6 + -12x = 12x + 18 + -17 Combine like terms: 7 + -6 = 1 1 + -12x = 12x + 18 + -17 Reorder the terms: 1 + -12x = 18 + -17 + 12x Combine like terms: 18 + -17 = 1 1 + -12x = 1 + 12x Add '-1' to each side of the equation. 1 + -1 + -12x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 0 + -12x = 1 + -1 + 12x -12x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 -12x = 0 + 12x -12x = 12x Solving -12x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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