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Simplifying 12(x + 3) + -1(x + -2) = 0 Reorder the terms: 12(3 + x) + -1(x + -2) = 0 (3 * 12 + x * 12) + -1(x + -2) = 0 (36 + 12x) + -1(x + -2) = 0 Reorder the terms: 36 + 12x + -1(-2 + x) = 0 36 + 12x + (-2 * -1 + x * -1) = 0 36 + 12x + (2 + -1x) = 0 Reorder the terms: 36 + 2 + 12x + -1x = 0 Combine like terms: 36 + 2 = 38 38 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x 38 + 11x = 0 Solving 38 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 11x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 11x = 0 + -38 11x = 0 + -38 Combine like terms: 0 + -38 = -38 11x = -38 Divide each side by '11'. x = -3.454545455 Simplifying x = -3.454545455
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