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Simplifying -12 + 27 = -5(x + 7) Combine like terms: -12 + 27 = 15 15 = -5(x + 7) Reorder the terms: 15 = -5(7 + x) 15 = (7 * -5 + x * -5) 15 = (-35 + -5x) Solving 15 = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 5x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 5x = -35 + 0 15 + 5x = -35 Add '-15' to each side of the equation. 15 + -15 + 5x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -35 + -15 5x = -35 + -15 Combine like terms: -35 + -15 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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