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Simplifying 3x + 12x + -4x + -27 + 4 = 4x + -9 Reorder the terms: -27 + 4 + 3x + 12x + -4x = 4x + -9 Combine like terms: -27 + 4 = -23 -23 + 3x + 12x + -4x = 4x + -9 Combine like terms: 3x + 12x = 15x -23 + 15x + -4x = 4x + -9 Combine like terms: 15x + -4x = 11x -23 + 11x = 4x + -9 Reorder the terms: -23 + 11x = -9 + 4x Solving -23 + 11x = -9 + 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. -23 + 11x + -4x = -9 + 4x + -4x Combine like terms: 11x + -4x = 7x -23 + 7x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 7x = -9 + 0 -23 + 7x = -9 Add '23' to each side of the equation. -23 + 23 + 7x = -9 + 23 Combine like terms: -23 + 23 = 0 0 + 7x = -9 + 23 7x = -9 + 23 Combine like terms: -9 + 23 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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