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Simplifying -11x + -2(6x + -3) = 6(1 + -8x) Reorder the terms: -11x + -2(-3 + 6x) = 6(1 + -8x) -11x + (-3 * -2 + 6x * -2) = 6(1 + -8x) -11x + (6 + -12x) = 6(1 + -8x) Reorder the terms: 6 + -11x + -12x = 6(1 + -8x) Combine like terms: -11x + -12x = -23x 6 + -23x = 6(1 + -8x) 6 + -23x = (1 * 6 + -8x * 6) 6 + -23x = (6 + -48x) Add '-6' to each side of the equation. 6 + -6 + -23x = 6 + -6 + -48x Combine like terms: 6 + -6 = 0 0 + -23x = 6 + -6 + -48x -23x = 6 + -6 + -48x Combine like terms: 6 + -6 = 0 -23x = 0 + -48x -23x = -48x Solving -23x = -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -23x + 48x = -48x + 48x Combine like terms: -23x + 48x = 25x 25x = -48x + 48x Combine like terms: -48x + 48x = 0 25x = 0 Divide each side by '25'. x = 0 Simplifying x = 0
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