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Simplifying -17 + 62 = -5(x + 4) Combine like terms: -17 + 62 = 45 45 = -5(x + 4) Reorder the terms: 45 = -5(4 + x) 45 = (4 * -5 + x * -5) 45 = (-20 + -5x) Solving 45 = -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. 45 + 5x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + 5x = -20 + 0 45 + 5x = -20 Add '-45' to each side of the equation. 45 + -45 + 5x = -20 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = -20 + -45 5x = -20 + -45 Combine like terms: -20 + -45 = -65 5x = -65 Divide each side by '5'. x = -13 Simplifying x = -13
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