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Simplifying -9x + 27 = 2x + 6 + -4x Reorder the terms: 27 + -9x = 2x + 6 + -4x Reorder the terms: 27 + -9x = 6 + 2x + -4x Combine like terms: 2x + -4x = -2x 27 + -9x = 6 + -2x Solving 27 + -9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + -9x + 2x = 6 + -2x + 2x Combine like terms: -9x + 2x = -7x 27 + -7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + -7x = 6 + 0 27 + -7x = 6 Add '-27' to each side of the equation. 27 + -27 + -7x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 6 + -27 -7x = 6 + -27 Combine like terms: 6 + -27 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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