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Simplifying (3x + 5) * 4 = 5(4x + -4) Reorder the terms: (5 + 3x) * 4 = 5(4x + -4) Reorder the terms for easier multiplication: 4(5 + 3x) = 5(4x + -4) (5 * 4 + 3x * 4) = 5(4x + -4) (20 + 12x) = 5(4x + -4) Reorder the terms: 20 + 12x = 5(-4 + 4x) 20 + 12x = (-4 * 5 + 4x * 5) 20 + 12x = (-20 + 20x) Solving 20 + 12x = -20 + 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. 20 + 12x + -20x = -20 + 20x + -20x Combine like terms: 12x + -20x = -8x 20 + -8x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -8x = -20 + 0 20 + -8x = -20 Add '-20' to each side of the equation. 20 + -20 + -8x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -20 + -20 -8x = -20 + -20 Combine like terms: -20 + -20 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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