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Simplifying -5(x + 7) + (x + -9) = 16 Reorder the terms: -5(7 + x) + (x + -9) = 16 (7 * -5 + x * -5) + (x + -9) = 16 (-35 + -5x) + (x + -9) = 16 Reorder the terms: -35 + -5x + (-9 + x) = 16 Remove parenthesis around (-9 + x) -35 + -5x + -9 + x = 16 Reorder the terms: -35 + -9 + -5x + x = 16 Combine like terms: -35 + -9 = -44 -44 + -5x + x = 16 Combine like terms: -5x + x = -4x -44 + -4x = 16 Solving -44 + -4x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -4x = 16 + 44 Combine like terms: -44 + 44 = 0 0 + -4x = 16 + 44 -4x = 16 + 44 Combine like terms: 16 + 44 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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