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Simplifying 10(2x + 10) = 120x Reorder the terms: 10(10 + 2x) = 120x (10 * 10 + 2x * 10) = 120x (100 + 20x) = 120x Solving 100 + 20x = 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 100 + 20x + -120x = 120x + -120x Combine like terms: 20x + -120x = -100x 100 + -100x = 120x + -120x Combine like terms: 120x + -120x = 0 100 + -100x = 0 Add '-100' to each side of the equation. 100 + -100 + -100x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -100x = 0 + -100 -100x = 0 + -100 Combine like terms: 0 + -100 = -100 -100x = -100 Divide each side by '-100'. x = 1 Simplifying x = 1
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