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Simplifying 3(x + 1) + 5x = 51 Reorder the terms: 3(1 + x) + 5x = 51 (1 * 3 + x * 3) + 5x = 51 (3 + 3x) + 5x = 51 Combine like terms: 3x + 5x = 8x 3 + 8x = 51 Solving 3 + 8x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 51 + -3 8x = 51 + -3 Combine like terms: 51 + -3 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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