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Simplifying (4x + 10x + 11) + -1(9x + -7x + 6) = 0 Reorder the terms: (11 + 4x + 10x) + -1(9x + -7x + 6) = 0 Combine like terms: 4x + 10x = 14x (11 + 14x) + -1(9x + -7x + 6) = 0 Remove parenthesis around (11 + 14x) 11 + 14x + -1(9x + -7x + 6) = 0 Reorder the terms: 11 + 14x + -1(6 + 9x + -7x) = 0 Combine like terms: 9x + -7x = 2x 11 + 14x + -1(6 + 2x) = 0 11 + 14x + (6 * -1 + 2x * -1) = 0 11 + 14x + (-6 + -2x) = 0 Reorder the terms: 11 + -6 + 14x + -2x = 0 Combine like terms: 11 + -6 = 5 5 + 14x + -2x = 0 Combine like terms: 14x + -2x = 12x 5 + 12x = 0 Solving 5 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 0 + -5 12x = 0 + -5 Combine like terms: 0 + -5 = -5 12x = -5 Divide each side by '12'. x = -0.4166666667 Simplifying x = -0.4166666667
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