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Simplifying -4(3x + 4) = 12 + -5x Reorder the terms: -4(4 + 3x) = 12 + -5x (4 * -4 + 3x * -4) = 12 + -5x (-16 + -12x) = 12 + -5x Solving -16 + -12x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + -12x + 5x = 12 + -5x + 5x Combine like terms: -12x + 5x = -7x -16 + -7x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + -7x = 12 + 0 -16 + -7x = 12 Add '16' to each side of the equation. -16 + 16 + -7x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = 12 + 16 -7x = 12 + 16 Combine like terms: 12 + 16 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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