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Simplifying 4(3 + -5x) + -4x = -4(5x + 4) (3 * 4 + -5x * 4) + -4x = -4(5x + 4) (12 + -20x) + -4x = -4(5x + 4) Combine like terms: -20x + -4x = -24x 12 + -24x = -4(5x + 4) Reorder the terms: 12 + -24x = -4(4 + 5x) 12 + -24x = (4 * -4 + 5x * -4) 12 + -24x = (-16 + -20x) Solving 12 + -24x = -16 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + -24x + 20x = -16 + -20x + 20x Combine like terms: -24x + 20x = -4x 12 + -4x = -16 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + -4x = -16 + 0 12 + -4x = -16 Add '-12' to each side of the equation. 12 + -12 + -4x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -16 + -12 -4x = -16 + -12 Combine like terms: -16 + -12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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