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Simplifying (3x + 7) + -1(x + -4) = 0 Reorder the terms: (7 + 3x) + -1(x + -4) = 0 Remove parenthesis around (7 + 3x) 7 + 3x + -1(x + -4) = 0 Reorder the terms: 7 + 3x + -1(-4 + x) = 0 7 + 3x + (-4 * -1 + x * -1) = 0 7 + 3x + (4 + -1x) = 0 Reorder the terms: 7 + 4 + 3x + -1x = 0 Combine like terms: 7 + 4 = 11 11 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 11 + 2x = 0 Solving 11 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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