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Simplifying -3(9 + x) = -12 + -2(2x + 11) (9 * -3 + x * -3) = -12 + -2(2x + 11) (-27 + -3x) = -12 + -2(2x + 11) Reorder the terms: -27 + -3x = -12 + -2(11 + 2x) -27 + -3x = -12 + (11 * -2 + 2x * -2) -27 + -3x = -12 + (-22 + -4x) Combine like terms: -12 + -22 = -34 -27 + -3x = -34 + -4x Solving -27 + -3x = -34 + -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. -27 + -3x + 4x = -34 + -4x + 4x Combine like terms: -3x + 4x = 1x -27 + 1x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 1x = -34 + 0 -27 + 1x = -34 Add '27' to each side of the equation. -27 + 27 + 1x = -34 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -34 + 27 1x = -34 + 27 Combine like terms: -34 + 27 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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