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Simplifying (2 + 7x + -4(3x + -1)) = 7x + -16 + -1x Reorder the terms: (2 + 7x + -4(-1 + 3x)) = 7x + -16 + -1x (2 + 7x + (-1 * -4 + 3x * -4)) = 7x + -16 + -1x (2 + 7x + (4 + -12x)) = 7x + -16 + -1x Reorder the terms: (2 + 4 + 7x + -12x) = 7x + -16 + -1x Combine like terms: 2 + 4 = 6 (6 + 7x + -12x) = 7x + -16 + -1x Combine like terms: 7x + -12x = -5x (6 + -5x) = 7x + -16 + -1x Remove parenthesis around (6 + -5x) 6 + -5x = 7x + -16 + -1x Reorder the terms: 6 + -5x = -16 + 7x + -1x Combine like terms: 7x + -1x = 6x 6 + -5x = -16 + 6x Solving 6 + -5x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -5x + -6x = -16 + 6x + -6x Combine like terms: -5x + -6x = -11x 6 + -11x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -11x = -16 + 0 6 + -11x = -16 Add '-6' to each side of the equation. 6 + -6 + -11x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -16 + -6 -11x = -16 + -6 Combine like terms: -16 + -6 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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