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Simplifying 5(x + -1) + 2(x + 1) = 18 Reorder the terms: 5(-1 + x) + 2(x + 1) = 18 (-1 * 5 + x * 5) + 2(x + 1) = 18 (-5 + 5x) + 2(x + 1) = 18 Reorder the terms: -5 + 5x + 2(1 + x) = 18 -5 + 5x + (1 * 2 + x * 2) = 18 -5 + 5x + (2 + 2x) = 18 Reorder the terms: -5 + 2 + 5x + 2x = 18 Combine like terms: -5 + 2 = -3 -3 + 5x + 2x = 18 Combine like terms: 5x + 2x = 7x -3 + 7x = 18 Solving -3 + 7x = 18 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 + 7x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 18 + 3 7x = 18 + 3 Combine like terms: 18 + 3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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