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Simplifying (14x + -16) + -1(9 + 7x) = -2x Reorder the terms: (-16 + 14x) + -1(9 + 7x) = -2x Remove parenthesis around (-16 + 14x) -16 + 14x + -1(9 + 7x) = -2x -16 + 14x + (9 * -1 + 7x * -1) = -2x -16 + 14x + (-9 + -7x) = -2x Reorder the terms: -16 + -9 + 14x + -7x = -2x Combine like terms: -16 + -9 = -25 -25 + 14x + -7x = -2x Combine like terms: 14x + -7x = 7x -25 + 7x = -2x Solving -25 + 7x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -25 + 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x -25 + 9x = -2x + 2x Combine like terms: -2x + 2x = 0 -25 + 9x = 0 Add '25' to each side of the equation. -25 + 25 + 9x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 0 + 25 9x = 0 + 25 Combine like terms: 0 + 25 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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