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Simplifying -6(1 + -3x) = 6(11 + 5x) (1 * -6 + -3x * -6) = 6(11 + 5x) (-6 + 18x) = 6(11 + 5x) -6 + 18x = (11 * 6 + 5x * 6) -6 + 18x = (66 + 30x) Solving -6 + 18x = 66 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 18x + -30x = 66 + 30x + -30x Combine like terms: 18x + -30x = -12x -6 + -12x = 66 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -12x = 66 + 0 -6 + -12x = 66 Add '6' to each side of the equation. -6 + 6 + -12x = 66 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 66 + 6 -12x = 66 + 6 Combine like terms: 66 + 6 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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