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Simplifying -12 + 47 = -5(x + 4) Combine like terms: -12 + 47 = 35 35 = -5(x + 4) Reorder the terms: 35 = -5(4 + x) 35 = (4 * -5 + x * -5) 35 = (-20 + -5x) Solving 35 = -20 + -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. 35 + 5x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 35 + 5x = -20 + 0 35 + 5x = -20 Add '-35' to each side of the equation. 35 + -35 + 5x = -20 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -20 + -35 5x = -20 + -35 Combine like terms: -20 + -35 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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