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Simplifying -4(6x + -4) = -36 + 2x Reorder the terms: -4(-4 + 6x) = -36 + 2x (-4 * -4 + 6x * -4) = -36 + 2x (16 + -24x) = -36 + 2x Solving 16 + -24x = -36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -24x + -2x = -36 + 2x + -2x Combine like terms: -24x + -2x = -26x 16 + -26x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -26x = -36 + 0 16 + -26x = -36 Add '-16' to each side of the equation. 16 + -16 + -26x = -36 + -16 Combine like terms: 16 + -16 = 0 0 + -26x = -36 + -16 -26x = -36 + -16 Combine like terms: -36 + -16 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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