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Simplifying -4x + 27 + 6x = 2x + -9x Reorder the terms: 27 + -4x + 6x = 2x + -9x Combine like terms: -4x + 6x = 2x 27 + 2x = 2x + -9x Combine like terms: 2x + -9x = -7x 27 + 2x = -7x Solving 27 + 2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 27 + 2x + 7x = -7x + 7x Combine like terms: 2x + 7x = 9x 27 + 9x = -7x + 7x Combine like terms: -7x + 7x = 0 27 + 9x = 0 Add '-27' to each side of the equation. 27 + -27 + 9x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 0 + -27 9x = 0 + -27 Combine like terms: 0 + -27 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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