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Simplifying (3x + 7) + -1(x + 5) = 0 Reorder the terms: (7 + 3x) + -1(x + 5) = 0 Remove parenthesis around (7 + 3x) 7 + 3x + -1(x + 5) = 0 Reorder the terms: 7 + 3x + -1(5 + x) = 0 7 + 3x + (5 * -1 + x * -1) = 0 7 + 3x + (-5 + -1x) = 0 Reorder the terms: 7 + -5 + 3x + -1x = 0 Combine like terms: 7 + -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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