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Simplifying 2(3x + 5) + 4 = 5x + 21 Reorder the terms: 2(5 + 3x) + 4 = 5x + 21 (5 * 2 + 3x * 2) + 4 = 5x + 21 (10 + 6x) + 4 = 5x + 21 Reorder the terms: 10 + 4 + 6x = 5x + 21 Combine like terms: 10 + 4 = 14 14 + 6x = 5x + 21 Reorder the terms: 14 + 6x = 21 + 5x Solving 14 + 6x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 6x + -5x = 21 + 5x + -5x Combine like terms: 6x + -5x = 1x 14 + 1x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 1x = 21 + 0 14 + 1x = 21 Add '-14' to each side of the equation. 14 + -14 + 1x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 21 + -14 1x = 21 + -14 Combine like terms: 21 + -14 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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