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Simplifying 19x + 14(12x + -5) + 6(9x + 11) = -3 + -12(3x + 14) Reorder the terms: 19x + 14(-5 + 12x) + 6(9x + 11) = -3 + -12(3x + 14) 19x + (-5 * 14 + 12x * 14) + 6(9x + 11) = -3 + -12(3x + 14) 19x + (-70 + 168x) + 6(9x + 11) = -3 + -12(3x + 14) Reorder the terms: 19x + -70 + 168x + 6(11 + 9x) = -3 + -12(3x + 14) 19x + -70 + 168x + (11 * 6 + 9x * 6) = -3 + -12(3x + 14) 19x + -70 + 168x + (66 + 54x) = -3 + -12(3x + 14) Reorder the terms: -70 + 66 + 19x + 168x + 54x = -3 + -12(3x + 14) Combine like terms: -70 + 66 = -4 -4 + 19x + 168x + 54x = -3 + -12(3x + 14) Combine like terms: 19x + 168x = 187x -4 + 187x + 54x = -3 + -12(3x + 14) Combine like terms: 187x + 54x = 241x -4 + 241x = -3 + -12(3x + 14) Reorder the terms: -4 + 241x = -3 + -12(14 + 3x) -4 + 241x = -3 + (14 * -12 + 3x * -12) -4 + 241x = -3 + (-168 + -36x) Combine like terms: -3 + -168 = -171 -4 + 241x = -171 + -36x Solving -4 + 241x = -171 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -4 + 241x + 36x = -171 + -36x + 36x Combine like terms: 241x + 36x = 277x -4 + 277x = -171 + -36x + 36x Combine like terms: -36x + 36x = 0 -4 + 277x = -171 + 0 -4 + 277x = -171 Add '4' to each side of the equation. -4 + 4 + 277x = -171 + 4 Combine like terms: -4 + 4 = 0 0 + 277x = -171 + 4 277x = -171 + 4 Combine like terms: -171 + 4 = -167 277x = -167 Divide each side by '277'. x = -0.6028880866 Simplifying x = -0.6028880866
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