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Simplifying 12x + (9x + -3) + -1(10x + -2) = 12 Reorder the terms: 12x + (-3 + 9x) + -1(10x + -2) = 12 Remove parenthesis around (-3 + 9x) 12x + -3 + 9x + -1(10x + -2) = 12 Reorder the terms: 12x + -3 + 9x + -1(-2 + 10x) = 12 12x + -3 + 9x + (-2 * -1 + 10x * -1) = 12 12x + -3 + 9x + (2 + -10x) = 12 Reorder the terms: -3 + 2 + 12x + 9x + -10x = 12 Combine like terms: -3 + 2 = -1 -1 + 12x + 9x + -10x = 12 Combine like terms: 12x + 9x = 21x -1 + 21x + -10x = 12 Combine like terms: 21x + -10x = 11x -1 + 11x = 12 Solving -1 + 11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 12 + 1 11x = 12 + 1 Combine like terms: 12 + 1 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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