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Simplifying 2x + -12(3 + -1x) = 1 + 3(x + 2) 2x + (3 * -12 + -1x * -12) = 1 + 3(x + 2) 2x + (-36 + 12x) = 1 + 3(x + 2) Reorder the terms: -36 + 2x + 12x = 1 + 3(x + 2) Combine like terms: 2x + 12x = 14x -36 + 14x = 1 + 3(x + 2) Reorder the terms: -36 + 14x = 1 + 3(2 + x) -36 + 14x = 1 + (2 * 3 + x * 3) -36 + 14x = 1 + (6 + 3x) Combine like terms: 1 + 6 = 7 -36 + 14x = 7 + 3x Solving -36 + 14x = 7 + 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. -36 + 14x + -3x = 7 + 3x + -3x Combine like terms: 14x + -3x = 11x -36 + 11x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 11x = 7 + 0 -36 + 11x = 7 Add '36' to each side of the equation. -36 + 36 + 11x = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 7 + 36 11x = 7 + 36 Combine like terms: 7 + 36 = 43 11x = 43 Divide each side by '11'. x = 3.909090909 Simplifying x = 3.909090909
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