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Simplifying 9x + -21 + 9 = 2(50 + -10x) Reorder the terms: -21 + 9 + 9x = 2(50 + -10x) Combine like terms: -21 + 9 = -12 -12 + 9x = 2(50 + -10x) -12 + 9x = (50 * 2 + -10x * 2) -12 + 9x = (100 + -20x) Solving -12 + 9x = 100 + -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. -12 + 9x + 20x = 100 + -20x + 20x Combine like terms: 9x + 20x = 29x -12 + 29x = 100 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 29x = 100 + 0 -12 + 29x = 100 Add '12' to each side of the equation. -12 + 12 + 29x = 100 + 12 Combine like terms: -12 + 12 = 0 0 + 29x = 100 + 12 29x = 100 + 12 Combine like terms: 100 + 12 = 112 29x = 112 Divide each side by '29'. x = 3.862068966 Simplifying x = 3.862068966
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