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Simplifying 20(120 + x) = 30x (120 * 20 + x * 20) = 30x (2400 + 20x) = 30x Solving 2400 + 20x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 2400 + 20x + -30x = 30x + -30x Combine like terms: 20x + -30x = -10x 2400 + -10x = 30x + -30x Combine like terms: 30x + -30x = 0 2400 + -10x = 0 Add '-2400' to each side of the equation. 2400 + -2400 + -10x = 0 + -2400 Combine like terms: 2400 + -2400 = 0 0 + -10x = 0 + -2400 -10x = 0 + -2400 Combine like terms: 0 + -2400 = -2400 -10x = -2400 Divide each side by '-10'. x = 240 Simplifying x = 240
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