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Simplifying -6(1 + -4x) = -3(11 + x) (1 * -6 + -4x * -6) = -3(11 + x) (-6 + 24x) = -3(11 + x) -6 + 24x = (11 * -3 + x * -3) -6 + 24x = (-33 + -3x) Solving -6 + 24x = -33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 24x + 3x = -33 + -3x + 3x Combine like terms: 24x + 3x = 27x -6 + 27x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 27x = -33 + 0 -6 + 27x = -33 Add '6' to each side of the equation. -6 + 6 + 27x = -33 + 6 Combine like terms: -6 + 6 = 0 0 + 27x = -33 + 6 27x = -33 + 6 Combine like terms: -33 + 6 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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