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Simplifying -19 + 74 = -5(x + 13) Combine like terms: -19 + 74 = 55 55 = -5(x + 13) Reorder the terms: 55 = -5(13 + x) 55 = (13 * -5 + x * -5) 55 = (-65 + -5x) Solving 55 = -65 + -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. 55 + 5x = -65 + -5x + 5x Combine like terms: -5x + 5x = 0 55 + 5x = -65 + 0 55 + 5x = -65 Add '-55' to each side of the equation. 55 + -55 + 5x = -65 + -55 Combine like terms: 55 + -55 = 0 0 + 5x = -65 + -55 5x = -65 + -55 Combine like terms: -65 + -55 = -120 5x = -120 Divide each side by '5'. x = -24 Simplifying x = -24
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