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Simplifying -6(4x + 1) = 18 + -12x Reorder the terms: -6(1 + 4x) = 18 + -12x (1 * -6 + 4x * -6) = 18 + -12x (-6 + -24x) = 18 + -12x Solving -6 + -24x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + -24x + 12x = 18 + -12x + 12x Combine like terms: -24x + 12x = -12x -6 + -12x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + -12x = 18 + 0 -6 + -12x = 18 Add '6' to each side of the equation. -6 + 6 + -12x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 18 + 6 -12x = 18 + 6 Combine like terms: 18 + 6 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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