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Simplifying -3x + -4(x + 9) = 4x + -5 + 2 Reorder the terms: -3x + -4(9 + x) = 4x + -5 + 2 -3x + (9 * -4 + x * -4) = 4x + -5 + 2 -3x + (-36 + -4x) = 4x + -5 + 2 Reorder the terms: -36 + -3x + -4x = 4x + -5 + 2 Combine like terms: -3x + -4x = -7x -36 + -7x = 4x + -5 + 2 Reorder the terms: -36 + -7x = -5 + 2 + 4x Combine like terms: -5 + 2 = -3 -36 + -7x = -3 + 4x Solving -36 + -7x = -3 + 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. -36 + -7x + -4x = -3 + 4x + -4x Combine like terms: -7x + -4x = -11x -36 + -11x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -11x = -3 + 0 -36 + -11x = -3 Add '36' to each side of the equation. -36 + 36 + -11x = -3 + 36 Combine like terms: -36 + 36 = 0 0 + -11x = -3 + 36 -11x = -3 + 36 Combine like terms: -3 + 36 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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