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Simplifying 420x = 120(4x + -20) Reorder the terms: 420x = 120(-20 + 4x) 420x = (-20 * 120 + 4x * 120) 420x = (-2400 + 480x) Solving 420x = -2400 + 480x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-480x' to each side of the equation. 420x + -480x = -2400 + 480x + -480x Combine like terms: 420x + -480x = -60x -60x = -2400 + 480x + -480x Combine like terms: 480x + -480x = 0 -60x = -2400 + 0 -60x = -2400 Divide each side by '-60'. x = 40 Simplifying x = 40
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