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Simplifying 12x + -1(3x + 7) + 27 = 4x Reorder the terms: 12x + -1(7 + 3x) + 27 = 4x 12x + (7 * -1 + 3x * -1) + 27 = 4x 12x + (-7 + -3x) + 27 = 4x Reorder the terms: -7 + 27 + 12x + -3x = 4x Combine like terms: -7 + 27 = 20 20 + 12x + -3x = 4x Combine like terms: 12x + -3x = 9x 20 + 9x = 4x Solving 20 + 9x = 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. 20 + 9x + -4x = 4x + -4x Combine like terms: 9x + -4x = 5x 20 + 5x = 4x + -4x Combine like terms: 4x + -4x = 0 20 + 5x = 0 Add '-20' to each side of the equation. 20 + -20 + 5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 0 + -20 5x = 0 + -20 Combine like terms: 0 + -20 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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