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Simplifying -4(2x + -3) = -12 + -2x Reorder the terms: -4(-3 + 2x) = -12 + -2x (-3 * -4 + 2x * -4) = -12 + -2x (12 + -8x) = -12 + -2x Solving 12 + -8x = -12 + -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. 12 + -8x + 2x = -12 + -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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