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Simplifying 5(x + -1) + -1(x + 5) = 2 Reorder the terms: 5(-1 + x) + -1(x + 5) = 2 (-1 * 5 + x * 5) + -1(x + 5) = 2 (-5 + 5x) + -1(x + 5) = 2 Reorder the terms: -5 + 5x + -1(5 + x) = 2 -5 + 5x + (5 * -1 + x * -1) = 2 -5 + 5x + (-5 + -1x) = 2 Reorder the terms: -5 + -5 + 5x + -1x = 2 Combine like terms: -5 + -5 = -10 -10 + 5x + -1x = 2 Combine like terms: 5x + -1x = 4x -10 + 4x = 2 Solving -10 + 4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 2 + 10 4x = 2 + 10 Combine like terms: 2 + 10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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