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Simplifying 10(10 + 12x) = 40x + 900 (10 * 10 + 12x * 10) = 40x + 900 (100 + 120x) = 40x + 900 Reorder the terms: 100 + 120x = 900 + 40x Solving 100 + 120x = 900 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 100 + 120x + -40x = 900 + 40x + -40x Combine like terms: 120x + -40x = 80x 100 + 80x = 900 + 40x + -40x Combine like terms: 40x + -40x = 0 100 + 80x = 900 + 0 100 + 80x = 900 Add '-100' to each side of the equation. 100 + -100 + 80x = 900 + -100 Combine like terms: 100 + -100 = 0 0 + 80x = 900 + -100 80x = 900 + -100 Combine like terms: 900 + -100 = 800 80x = 800 Divide each side by '80'. x = 10 Simplifying x = 10
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