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Simplifying 9 + -12x + 1 = 12 + -1(3x + 2) Reorder the terms: 9 + 1 + -12x = 12 + -1(3x + 2) Combine like terms: 9 + 1 = 10 10 + -12x = 12 + -1(3x + 2) Reorder the terms: 10 + -12x = 12 + -1(2 + 3x) 10 + -12x = 12 + (2 * -1 + 3x * -1) 10 + -12x = 12 + (-2 + -3x) Combine like terms: 12 + -2 = 10 10 + -12x = 10 + -3x Add '-10' to each side of the equation. 10 + -10 + -12x = 10 + -10 + -3x Combine like terms: 10 + -10 = 0 0 + -12x = 10 + -10 + -3x -12x = 10 + -10 + -3x Combine like terms: 10 + -10 = 0 -12x = 0 + -3x -12x = -3x Solving -12x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12x + 3x = -3x + 3x Combine like terms: -12x + 3x = -9x -9x = -3x + 3x Combine like terms: -3x + 3x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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