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Simplifying 3(2x + 1) + 2(4x + 2) = 24 Reorder the terms: 3(1 + 2x) + 2(4x + 2) = 24 (1 * 3 + 2x * 3) + 2(4x + 2) = 24 (3 + 6x) + 2(4x + 2) = 24 Reorder the terms: 3 + 6x + 2(2 + 4x) = 24 3 + 6x + (2 * 2 + 4x * 2) = 24 3 + 6x + (4 + 8x) = 24 Reorder the terms: 3 + 4 + 6x + 8x = 24 Combine like terms: 3 + 4 = 7 7 + 6x + 8x = 24 Combine like terms: 6x + 8x = 14x 7 + 14x = 24 Solving 7 + 14x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 24 + -7 14x = 24 + -7 Combine like terms: 24 + -7 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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