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Simplifying -11 + 46 = -5(x + 6) Combine like terms: -11 + 46 = 35 35 = -5(x + 6) Reorder the terms: 35 = -5(6 + x) 35 = (6 * -5 + x * -5) 35 = (-30 + -5x) Solving 35 = -30 + -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 = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 35 + 5x = -30 + 0 35 + 5x = -30 Add '-35' to each side of the equation. 35 + -35 + 5x = -30 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -30 + -35 5x = -30 + -35 Combine like terms: -30 + -35 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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