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Simplifying 5(x + -1) + 3(x + 1) = 38 Reorder the terms: 5(-1 + x) + 3(x + 1) = 38 (-1 * 5 + x * 5) + 3(x + 1) = 38 (-5 + 5x) + 3(x + 1) = 38 Reorder the terms: -5 + 5x + 3(1 + x) = 38 -5 + 5x + (1 * 3 + x * 3) = 38 -5 + 5x + (3 + 3x) = 38 Reorder the terms: -5 + 3 + 5x + 3x = 38 Combine like terms: -5 + 3 = -2 -2 + 5x + 3x = 38 Combine like terms: 5x + 3x = 8x -2 + 8x = 38 Solving -2 + 8x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 38 + 2 8x = 38 + 2 Combine like terms: 38 + 2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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