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Simplifying 3(-12x + 6) = 49(-43 + -1x) Reorder the terms: 3(6 + -12x) = 49(-43 + -1x) (6 * 3 + -12x * 3) = 49(-43 + -1x) (18 + -36x) = 49(-43 + -1x) 18 + -36x = (-43 * 49 + -1x * 49) 18 + -36x = (-2107 + -49x) Solving 18 + -36x = -2107 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 18 + -36x + 49x = -2107 + -49x + 49x Combine like terms: -36x + 49x = 13x 18 + 13x = -2107 + -49x + 49x Combine like terms: -49x + 49x = 0 18 + 13x = -2107 + 0 18 + 13x = -2107 Add '-18' to each side of the equation. 18 + -18 + 13x = -2107 + -18 Combine like terms: 18 + -18 = 0 0 + 13x = -2107 + -18 13x = -2107 + -18 Combine like terms: -2107 + -18 = -2125 13x = -2125 Divide each side by '13'. x = -163.4615385 Simplifying x = -163.4615385
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