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Simplifying -6 + (x + 4) + 7(2x + 1) = 0 Reorder the terms: -6 + (4 + x) + 7(2x + 1) = 0 Remove parenthesis around (4 + x) -6 + 4 + x + 7(2x + 1) = 0 Reorder the terms: -6 + 4 + x + 7(1 + 2x) = 0 -6 + 4 + x + (1 * 7 + 2x * 7) = 0 -6 + 4 + x + (7 + 14x) = 0 Reorder the terms: -6 + 4 + 7 + x + 14x = 0 Combine like terms: -6 + 4 = -2 -2 + 7 + x + 14x = 0 Combine like terms: -2 + 7 = 5 5 + x + 14x = 0 Combine like terms: x + 14x = 15x 5 + 15x = 0 Solving 5 + 15x = 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 + 15x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 0 + -5 15x = 0 + -5 Combine like terms: 0 + -5 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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