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Simplifying -7x + 27 = -3(1 + 4x) Reorder the terms: 27 + -7x = -3(1 + 4x) 27 + -7x = (1 * -3 + 4x * -3) 27 + -7x = (-3 + -12x) Solving 27 + -7x = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 27 + -7x + 12x = -3 + -12x + 12x Combine like terms: -7x + 12x = 5x 27 + 5x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 27 + 5x = -3 + 0 27 + 5x = -3 Add '-27' to each side of the equation. 27 + -27 + 5x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = -3 + -27 5x = -3 + -27 Combine like terms: -3 + -27 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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