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Simplifying 7x + -1(2x + 9) = 3x + -43 Reorder the terms: 7x + -1(9 + 2x) = 3x + -43 7x + (9 * -1 + 2x * -1) = 3x + -43 7x + (-9 + -2x) = 3x + -43 Reorder the terms: -9 + 7x + -2x = 3x + -43 Combine like terms: 7x + -2x = 5x -9 + 5x = 3x + -43 Reorder the terms: -9 + 5x = -43 + 3x Solving -9 + 5x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 5x + -3x = -43 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = -43 + 0 -9 + 2x = -43 Add '9' to each side of the equation. -9 + 9 + 2x = -43 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -43 + 9 2x = -43 + 9 Combine like terms: -43 + 9 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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