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Simplifying 5x + -3(x + 1) = 51 Reorder the terms: 5x + -3(1 + x) = 51 5x + (1 * -3 + x * -3) = 51 5x + (-3 + -3x) = 51 Reorder the terms: -3 + 5x + -3x = 51 Combine like terms: 5x + -3x = 2x -3 + 2x = 51 Solving -3 + 2x = 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 + 2x = 51 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 51 + 3 2x = 51 + 3 Combine like terms: 51 + 3 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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