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Simplifying -6(4x + -5) = -2(-6 + -6x) Reorder the terms: -6(-5 + 4x) = -2(-6 + -6x) (-5 * -6 + 4x * -6) = -2(-6 + -6x) (30 + -24x) = -2(-6 + -6x) 30 + -24x = (-6 * -2 + -6x * -2) 30 + -24x = (12 + 12x) Solving 30 + -24x = 12 + 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. 30 + -24x + -12x = 12 + 12x + -12x Combine like terms: -24x + -12x = -36x 30 + -36x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -36x = 12 + 0 30 + -36x = 12 Add '-30' to each side of the equation. 30 + -30 + -36x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -36x = 12 + -30 -36x = 12 + -30 Combine like terms: 12 + -30 = -18 -36x = -18 Divide each side by '-36'. x = 0.5 Simplifying x = 0.5
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