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Simplifying 3(4x + -2) + -11(x + -2) = 0 Reorder the terms: 3(-2 + 4x) + -11(x + -2) = 0 (-2 * 3 + 4x * 3) + -11(x + -2) = 0 (-6 + 12x) + -11(x + -2) = 0 Reorder the terms: -6 + 12x + -11(-2 + x) = 0 -6 + 12x + (-2 * -11 + x * -11) = 0 -6 + 12x + (22 + -11x) = 0 Reorder the terms: -6 + 22 + 12x + -11x = 0 Combine like terms: -6 + 22 = 16 16 + 12x + -11x = 0 Combine like terms: 12x + -11x = 1x 16 + 1x = 0 Solving 16 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 0 + -16 1x = 0 + -16 Combine like terms: 0 + -16 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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