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Simplifying (3x + 1) + -1(x + -5) = 0 Reorder the terms: (1 + 3x) + -1(x + -5) = 0 Remove parenthesis around (1 + 3x) 1 + 3x + -1(x + -5) = 0 Reorder the terms: 1 + 3x + -1(-5 + x) = 0 1 + 3x + (-5 * -1 + x * -1) = 0 1 + 3x + (5 + -1x) = 0 Reorder the terms: 1 + 5 + 3x + -1x = 0 Combine like terms: 1 + 5 = 6 6 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 6 + 2x = 0 Solving 6 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 0 + -6 2x = 0 + -6 Combine like terms: 0 + -6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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