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Simplifying -6(-5 + -4x) = 6(6x + -3) (-5 * -6 + -4x * -6) = 6(6x + -3) (30 + 24x) = 6(6x + -3) Reorder the terms: 30 + 24x = 6(-3 + 6x) 30 + 24x = (-3 * 6 + 6x * 6) 30 + 24x = (-18 + 36x) Solving 30 + 24x = -18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 30 + 24x + -36x = -18 + 36x + -36x Combine like terms: 24x + -36x = -12x 30 + -12x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 30 + -12x = -18 + 0 30 + -12x = -18 Add '-30' to each side of the equation. 30 + -30 + -12x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = -18 + -30 -12x = -18 + -30 Combine like terms: -18 + -30 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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