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Simplifying 7x + -1(3x + 9) = 6x + -43 Reorder the terms: 7x + -1(9 + 3x) = 6x + -43 7x + (9 * -1 + 3x * -1) = 6x + -43 7x + (-9 + -3x) = 6x + -43 Reorder the terms: -9 + 7x + -3x = 6x + -43 Combine like terms: 7x + -3x = 4x -9 + 4x = 6x + -43 Reorder the terms: -9 + 4x = -43 + 6x Solving -9 + 4x = -43 + 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. -9 + 4x + -6x = -43 + 6x + -6x Combine like terms: 4x + -6x = -2x -9 + -2x = -43 + 6x + -6x Combine like terms: 6x + -6x = 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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