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Simplifying -11 + 46 = -5(x + 5) Combine like terms: -11 + 46 = 35 35 = -5(x + 5) Reorder the terms: 35 = -5(5 + x) 35 = (5 * -5 + x * -5) 35 = (-25 + -5x) Solving 35 = -25 + -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 = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 35 + 5x = -25 + 0 35 + 5x = -25 Add '-35' to each side of the equation. 35 + -35 + 5x = -25 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -25 + -35 5x = -25 + -35 Combine like terms: -25 + -35 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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