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Simplifying (2 + 7x + -5(3x + -1)) = 7x + -16 + -1x Reorder the terms: (2 + 7x + -5(-1 + 3x)) = 7x + -16 + -1x (2 + 7x + (-1 * -5 + 3x * -5)) = 7x + -16 + -1x (2 + 7x + (5 + -15x)) = 7x + -16 + -1x Reorder the terms: (2 + 5 + 7x + -15x) = 7x + -16 + -1x Combine like terms: 2 + 5 = 7 (7 + 7x + -15x) = 7x + -16 + -1x Combine like terms: 7x + -15x = -8x (7 + -8x) = 7x + -16 + -1x Remove parenthesis around (7 + -8x) 7 + -8x = 7x + -16 + -1x Reorder the terms: 7 + -8x = -16 + 7x + -1x Combine like terms: 7x + -1x = 6x 7 + -8x = -16 + 6x Solving 7 + -8x = -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. 7 + -8x + -6x = -16 + 6x + -6x Combine like terms: -8x + -6x = -14x 7 + -14x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -14x = -16 + 0 7 + -14x = -16 Add '-7' to each side of the equation. 7 + -7 + -14x = -16 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -16 + -7 -14x = -16 + -7 Combine like terms: -16 + -7 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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