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Simplifying -4(2x + -3) = 4x + -12 Reorder the terms: -4(-3 + 2x) = 4x + -12 (-3 * -4 + 2x * -4) = 4x + -12 (12 + -8x) = 4x + -12 Reorder the terms: 12 + -8x = -12 + 4x Solving 12 + -8x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -8x + -4x = -12 + 4x + -4x Combine like terms: -8x + -4x = -12x 12 + -12x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -12x = -12 + 0 12 + -12x = -12 Add '-12' to each side of the equation. 12 + -12 + -12x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -12 + -12 -12x = -12 + -12 Combine like terms: -12 + -12 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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