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Simplifying (7x + -2) + 2(4x + 9) = 0 Reorder the terms: (-2 + 7x) + 2(4x + 9) = 0 Remove parenthesis around (-2 + 7x) -2 + 7x + 2(4x + 9) = 0 Reorder the terms: -2 + 7x + 2(9 + 4x) = 0 -2 + 7x + (9 * 2 + 4x * 2) = 0 -2 + 7x + (18 + 8x) = 0 Reorder the terms: -2 + 18 + 7x + 8x = 0 Combine like terms: -2 + 18 = 16 16 + 7x + 8x = 0 Combine like terms: 7x + 8x = 15x 16 + 15x = 0 Solving 16 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 15x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = 0 + -16 15x = 0 + -16 Combine like terms: 0 + -16 = -16 15x = -16 Divide each side by '15'. x = -1.066666667 Simplifying x = -1.066666667
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