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Simplifying -3(x + 9) + -1(x + -7) = 16 Reorder the terms: -3(9 + x) + -1(x + -7) = 16 (9 * -3 + x * -3) + -1(x + -7) = 16 (-27 + -3x) + -1(x + -7) = 16 Reorder the terms: -27 + -3x + -1(-7 + x) = 16 -27 + -3x + (-7 * -1 + x * -1) = 16 -27 + -3x + (7 + -1x) = 16 Reorder the terms: -27 + 7 + -3x + -1x = 16 Combine like terms: -27 + 7 = -20 -20 + -3x + -1x = 16 Combine like terms: -3x + -1x = -4x -20 + -4x = 16 Solving -20 + -4x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -4x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 16 + 20 -4x = 16 + 20 Combine like terms: 16 + 20 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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