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Simplifying 3(2x + 7) + 2(4x + 2) = 21 Reorder the terms: 3(7 + 2x) + 2(4x + 2) = 21 (7 * 3 + 2x * 3) + 2(4x + 2) = 21 (21 + 6x) + 2(4x + 2) = 21 Reorder the terms: 21 + 6x + 2(2 + 4x) = 21 21 + 6x + (2 * 2 + 4x * 2) = 21 21 + 6x + (4 + 8x) = 21 Reorder the terms: 21 + 4 + 6x + 8x = 21 Combine like terms: 21 + 4 = 25 25 + 6x + 8x = 21 Combine like terms: 6x + 8x = 14x 25 + 14x = 21 Solving 25 + 14x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 14x = 21 + -25 Combine like terms: 25 + -25 = 0 0 + 14x = 21 + -25 14x = 21 + -25 Combine like terms: 21 + -25 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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