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