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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 = 14 10 + -12x = 14 + -3x Solving 10 + -12x = 14 + -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. 10 + -12x + 3x = 14 + -3x + 3x Combine like terms: -12x + 3x = -9x 10 + -9x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -9x = 14 + 0 10 + -9x = 14 Add '-10' to each side of the equation. 10 + -10 + -9x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 14 + -10 -9x = 14 + -10 Combine like terms: 14 + -10 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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