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Simplifying 3x + 5 + -1(2x + 9) = (-5 + -2) Reorder the terms: 3x + 5 + -1(9 + 2x) = (-5 + -2) 3x + 5 + (9 * -1 + 2x * -1) = (-5 + -2) 3x + 5 + (-9 + -2x) = (-5 + -2) Reorder the terms: 5 + -9 + 3x + -2x = (-5 + -2) Combine like terms: 5 + -9 = -4 -4 + 3x + -2x = (-5 + -2) Combine like terms: 3x + -2x = 1x -4 + 1x = (-5 + -2) Combine like terms: -5 + -2 = -7 -4 + 1x = (-7) -4 + 1x = -7 Solving -4 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -7 + 4 1x = -7 + 4 Combine like terms: -7 + 4 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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