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Simplifying 9x + -1(3x + 5) = 4x + -43 Reorder the terms: 9x + -1(5 + 3x) = 4x + -43 9x + (5 * -1 + 3x * -1) = 4x + -43 9x + (-5 + -3x) = 4x + -43 Reorder the terms: -5 + 9x + -3x = 4x + -43 Combine like terms: 9x + -3x = 6x -5 + 6x = 4x + -43 Reorder the terms: -5 + 6x = -43 + 4x Solving -5 + 6x = -43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 6x + -4x = -43 + 4x + -4x Combine like terms: 6x + -4x = 2x -5 + 2x = -43 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 2x = -43 + 0 -5 + 2x = -43 Add '5' to each side of the equation. -5 + 5 + 2x = -43 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -43 + 5 2x = -43 + 5 Combine like terms: -43 + 5 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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