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Simplifying 9x + 7(-3x + -5) = -43 + -4x Reorder the terms: 9x + 7(-5 + -3x) = -43 + -4x 9x + (-5 * 7 + -3x * 7) = -43 + -4x 9x + (-35 + -21x) = -43 + -4x Reorder the terms: -35 + 9x + -21x = -43 + -4x Combine like terms: 9x + -21x = -12x -35 + -12x = -43 + -4x Solving -35 + -12x = -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. -35 + -12x + 4x = -43 + -4x + 4x Combine like terms: -12x + 4x = -8x -35 + -8x = -43 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + -8x = -43 + 0 -35 + -8x = -43 Add '35' to each side of the equation. -35 + 35 + -8x = -43 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = -43 + 35 -8x = -43 + 35 Combine like terms: -43 + 35 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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