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Simplifying (7x + 2) + -1(4x + -9) = 0 Reorder the terms: (2 + 7x) + -1(4x + -9) = 0 Remove parenthesis around (2 + 7x) 2 + 7x + -1(4x + -9) = 0 Reorder the terms: 2 + 7x + -1(-9 + 4x) = 0 2 + 7x + (-9 * -1 + 4x * -1) = 0 2 + 7x + (9 + -4x) = 0 Reorder the terms: 2 + 9 + 7x + -4x = 0 Combine like terms: 2 + 9 = 11 11 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 11 + 3x = 0 Solving 11 + 3x = 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 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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