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Simplifying 5 + 3(x + 8) + 20 = 2(9 + 10x) + 25 Reorder the terms: 5 + 3(8 + x) + 20 = 2(9 + 10x) + 25 5 + (8 * 3 + x * 3) + 20 = 2(9 + 10x) + 25 5 + (24 + 3x) + 20 = 2(9 + 10x) + 25 Reorder the terms: 5 + 24 + 20 + 3x = 2(9 + 10x) + 25 Combine like terms: 5 + 24 = 29 29 + 20 + 3x = 2(9 + 10x) + 25 Combine like terms: 29 + 20 = 49 49 + 3x = 2(9 + 10x) + 25 49 + 3x = (9 * 2 + 10x * 2) + 25 49 + 3x = (18 + 20x) + 25 Reorder the terms: 49 + 3x = 18 + 25 + 20x Combine like terms: 18 + 25 = 43 49 + 3x = 43 + 20x Solving 49 + 3x = 43 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 49 + 3x + -20x = 43 + 20x + -20x Combine like terms: 3x + -20x = -17x 49 + -17x = 43 + 20x + -20x Combine like terms: 20x + -20x = 0 49 + -17x = 43 + 0 49 + -17x = 43 Add '-49' to each side of the equation. 49 + -49 + -17x = 43 + -49 Combine like terms: 49 + -49 = 0 0 + -17x = 43 + -49 -17x = 43 + -49 Combine like terms: 43 + -49 = -6 -17x = -6 Divide each side by '-17'. x = 0.3529411765 Simplifying x = 0.3529411765
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