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Simplifying -17 + 62 = -5(x + 2) Combine like terms: -17 + 62 = 45 45 = -5(x + 2) Reorder the terms: 45 = -5(2 + x) 45 = (2 * -5 + x * -5) 45 = (-10 + -5x) Solving 45 = -10 + -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. 45 + 5x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + 5x = -10 + 0 45 + 5x = -10 Add '-45' to each side of the equation. 45 + -45 + 5x = -10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = -10 + -45 5x = -10 + -45 Combine like terms: -10 + -45 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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