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Simplifying -12 + -4x = 4(-3x + 5) Reorder the terms: -12 + -4x = 4(5 + -3x) -12 + -4x = (5 * 4 + -3x * 4) -12 + -4x = (20 + -12x) Solving -12 + -4x = 20 + -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. -12 + -4x + 12x = 20 + -12x + 12x Combine like terms: -4x + 12x = 8x -12 + 8x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 8x = 20 + 0 -12 + 8x = 20 Add '12' to each side of the equation. -12 + 12 + 8x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 20 + 12 8x = 20 + 12 Combine like terms: 20 + 12 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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