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Simplifying 2x + 5(2x + 4) = 9x + 21 Reorder the terms: 2x + 5(4 + 2x) = 9x + 21 2x + (4 * 5 + 2x * 5) = 9x + 21 2x + (20 + 10x) = 9x + 21 Reorder the terms: 20 + 2x + 10x = 9x + 21 Combine like terms: 2x + 10x = 12x 20 + 12x = 9x + 21 Reorder the terms: 20 + 12x = 21 + 9x Solving 20 + 12x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 12x + -9x = 21 + 9x + -9x Combine like terms: 12x + -9x = 3x 20 + 3x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 3x = 21 + 0 20 + 3x = 21 Add '-20' to each side of the equation. 20 + -20 + 3x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 21 + -20 3x = 21 + -20 Combine like terms: 21 + -20 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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