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Simplifying 2(x + 6) + 3(2x + 1) = 3x + 25 Reorder the terms: 2(6 + x) + 3(2x + 1) = 3x + 25 (6 * 2 + x * 2) + 3(2x + 1) = 3x + 25 (12 + 2x) + 3(2x + 1) = 3x + 25 Reorder the terms: 12 + 2x + 3(1 + 2x) = 3x + 25 12 + 2x + (1 * 3 + 2x * 3) = 3x + 25 12 + 2x + (3 + 6x) = 3x + 25 Reorder the terms: 12 + 3 + 2x + 6x = 3x + 25 Combine like terms: 12 + 3 = 15 15 + 2x + 6x = 3x + 25 Combine like terms: 2x + 6x = 8x 15 + 8x = 3x + 25 Reorder the terms: 15 + 8x = 25 + 3x Solving 15 + 8x = 25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 8x + -3x = 25 + 3x + -3x Combine like terms: 8x + -3x = 5x 15 + 5x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 5x = 25 + 0 15 + 5x = 25 Add '-15' to each side of the equation. 15 + -15 + 5x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 25 + -15 5x = 25 + -15 Combine like terms: 25 + -15 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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