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Simplifying -13 + 78 = -5(x + 2) Combine like terms: -13 + 78 = 65 65 = -5(x + 2) Reorder the terms: 65 = -5(2 + x) 65 = (2 * -5 + x * -5) 65 = (-10 + -5x) Solving 65 = -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. 65 + 5x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 65 + 5x = -10 + 0 65 + 5x = -10 Add '-65' to each side of the equation. 65 + -65 + 5x = -10 + -65 Combine like terms: 65 + -65 = 0 0 + 5x = -10 + -65 5x = -10 + -65 Combine like terms: -10 + -65 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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