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Simplifying -6(3 + -12x) = 11x + -6(x + 3) (3 * -6 + -12x * -6) = 11x + -6(x + 3) (-18 + 72x) = 11x + -6(x + 3) Reorder the terms: -18 + 72x = 11x + -6(3 + x) -18 + 72x = 11x + (3 * -6 + x * -6) -18 + 72x = 11x + (-18 + -6x) Reorder the terms: -18 + 72x = -18 + 11x + -6x Combine like terms: 11x + -6x = 5x -18 + 72x = -18 + 5x Add '18' to each side of the equation. -18 + 18 + 72x = -18 + 18 + 5x Combine like terms: -18 + 18 = 0 0 + 72x = -18 + 18 + 5x 72x = -18 + 18 + 5x Combine like terms: -18 + 18 = 0 72x = 0 + 5x 72x = 5x Solving 72x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 72x + -5x = 5x + -5x Combine like terms: 72x + -5x = 67x 67x = 5x + -5x Combine like terms: 5x + -5x = 0 67x = 0 Divide each side by '67'. x = 0 Simplifying x = 0
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