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Simplifying 2x + -7 + -3(3x + 8) + -4x + 9 = 0 Reorder the terms: 2x + -7 + -3(8 + 3x) + -4x + 9 = 0 2x + -7 + (8 * -3 + 3x * -3) + -4x + 9 = 0 2x + -7 + (-24 + -9x) + -4x + 9 = 0 Reorder the terms: -7 + -24 + 9 + 2x + -9x + -4x = 0 Combine like terms: -7 + -24 = -31 -31 + 9 + 2x + -9x + -4x = 0 Combine like terms: -31 + 9 = -22 -22 + 2x + -9x + -4x = 0 Combine like terms: 2x + -9x = -7x -22 + -7x + -4x = 0 Combine like terms: -7x + -4x = -11x -22 + -11x = 0 Solving -22 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -11x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -11x = 0 + 22 -11x = 0 + 22 Combine like terms: 0 + 22 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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