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Simplifying 10(5x + 2) + 9 = 100x + 9 Reorder the terms: 10(2 + 5x) + 9 = 100x + 9 (2 * 10 + 5x * 10) + 9 = 100x + 9 (20 + 50x) + 9 = 100x + 9 Reorder the terms: 20 + 9 + 50x = 100x + 9 Combine like terms: 20 + 9 = 29 29 + 50x = 100x + 9 Reorder the terms: 29 + 50x = 9 + 100x Solving 29 + 50x = 9 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 29 + 50x + -100x = 9 + 100x + -100x Combine like terms: 50x + -100x = -50x 29 + -50x = 9 + 100x + -100x Combine like terms: 100x + -100x = 0 29 + -50x = 9 + 0 29 + -50x = 9 Add '-29' to each side of the equation. 29 + -29 + -50x = 9 + -29 Combine like terms: 29 + -29 = 0 0 + -50x = 9 + -29 -50x = 9 + -29 Combine like terms: 9 + -29 = -20 -50x = -20 Divide each side by '-50'. x = 0.4 Simplifying x = 0.4
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