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Simplifying 2(4x + 3) = 3x + 51 Reorder the terms: 2(3 + 4x) = 3x + 51 (3 * 2 + 4x * 2) = 3x + 51 (6 + 8x) = 3x + 51 Reorder the terms: 6 + 8x = 51 + 3x Solving 6 + 8x = 51 + 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. 6 + 8x + -3x = 51 + 3x + -3x Combine like terms: 8x + -3x = 5x 6 + 5x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 5x = 51 + 0 6 + 5x = 51 Add '-6' to each side of the equation. 6 + -6 + 5x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 51 + -6 5x = 51 + -6 Combine like terms: 51 + -6 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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