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Simplifying 3(x + 2) + 4(2x + 1) = 6x + 20 Reorder the terms: 3(2 + x) + 4(2x + 1) = 6x + 20 (2 * 3 + x * 3) + 4(2x + 1) = 6x + 20 (6 + 3x) + 4(2x + 1) = 6x + 20 Reorder the terms: 6 + 3x + 4(1 + 2x) = 6x + 20 6 + 3x + (1 * 4 + 2x * 4) = 6x + 20 6 + 3x + (4 + 8x) = 6x + 20 Reorder the terms: 6 + 4 + 3x + 8x = 6x + 20 Combine like terms: 6 + 4 = 10 10 + 3x + 8x = 6x + 20 Combine like terms: 3x + 8x = 11x 10 + 11x = 6x + 20 Reorder the terms: 10 + 11x = 20 + 6x Solving 10 + 11x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 11x + -6x = 20 + 6x + -6x Combine like terms: 11x + -6x = 5x 10 + 5x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 5x = 20 + 0 10 + 5x = 20 Add '-10' to each side of the equation. 10 + -10 + 5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 20 + -10 5x = 20 + -10 Combine like terms: 20 + -10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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